diff --git a/lib/livebook/intellisense.ex b/lib/livebook/intellisense.ex
index 02d5e88e7..1ee80b80d 100644
--- a/lib/livebook/intellisense.ex
+++ b/lib/livebook/intellisense.ex
@@ -277,7 +277,14 @@ defmodule Livebook.Intellisense do
   defp format_signatures([], _module), do: nil
 
   defp format_signatures(signatures, module) do
-    module_to_prefix(module) <> Enum.join(signatures, "\n")
+    signatures_string = Enum.join(signatures, "\n")
+
+    # Don't add module prefix to operator signatures
+    if :binary.match(signatures_string, ["(", "/"]) != :nomatch do
+      module_to_prefix(module) <> signatures_string
+    else
+      signatures_string
+    end
   end
 
   defp module_to_prefix(mod) do
diff --git a/lib/livebook/intellisense/completion.ex b/lib/livebook/intellisense/completion.ex
index 45b2b9cb5..1e223903d 100644
--- a/lib/livebook/intellisense/completion.ex
+++ b/lib/livebook/intellisense/completion.ex
@@ -23,6 +23,9 @@ defmodule Livebook.Intellisense.Completion do
   @type signature :: String.t()
   @type spec :: tuple() | nil
 
+  @exact_matcher &Kernel.==/2
+  @prefix_matcher &String.starts_with?/2
+
   @doc """
   Returns a list of identifiers matching the given `hint`
   together with relevant information.
@@ -40,7 +43,7 @@ defmodule Livebook.Intellisense.Completion do
   @spec get_completion_items(String.t(), Code.binding(), Macro.Env.t(), keyword()) ::
           list(completion_item())
   def get_completion_items(hint, binding, env, opts \\ []) do
-    matcher = if opts[:exact], do: &Kernel.==/2, else: &String.starts_with?/2
+    matcher = if opts[:exact], do: @exact_matcher, else: @prefix_matcher
 
     complete(hint, %{binding: binding, env: env, matcher: matcher})
   end
@@ -57,7 +60,7 @@ defmodule Livebook.Intellisense.Completion do
         complete_dot(path, List.to_string(hint), ctx)
 
       {:dot_arity, path, hint} ->
-        complete_dot(path, List.to_string(hint), ctx)
+        complete_dot(path, List.to_string(hint), %{ctx | matcher: @exact_matcher})
 
       {:dot_call, _path, _hint} ->
         complete_default(ctx)
@@ -69,11 +72,20 @@ defmodule Livebook.Intellisense.Completion do
         complete_local_or_var(List.to_string(local_or_var), ctx)
 
       {:local_arity, local} ->
-        complete_local(List.to_string(local), ctx)
+        complete_local(List.to_string(local), %{ctx | matcher: @exact_matcher})
 
       {:local_call, _local} ->
         complete_default(ctx)
 
+      {:operator, operator} ->
+        complete_local_or_var(List.to_string(operator), ctx)
+
+      {:operator_arity, operator} ->
+        complete_local(List.to_string(operator), %{ctx | matcher: @exact_matcher})
+
+      {:operator_call, _operator} ->
+        complete_default(ctx)
+
       {:module_attribute, attribute} ->
         complete_module_attribute(List.to_string(attribute), ctx)
 
diff --git a/test/livebook/intellisense_test.exs b/test/livebook/intellisense_test.exs
index 7ddc633b4..18d211ee7 100644
--- a/test/livebook/intellisense_test.exs
+++ b/test/livebook/intellisense_test.exs
@@ -313,6 +313,11 @@ defmodule Livebook.IntellisenseTest do
                """,
                insert_text: "concat"
              } in Intellisense.get_completion_items("Enum.concat/", binding, env)
+
+      assert [
+               %{label: "count/1"},
+               %{label: "count/2"}
+             ] = Intellisense.get_completion_items("Enum.count/", binding, env)
     end
 
     test "function completion same name with different arities" do
@@ -410,6 +415,69 @@ defmodule Livebook.IntellisenseTest do
              ] = Intellisense.get_completion_items("mod.ve", binding, env)
     end
 
+    # TODO: Enable on Elixir 1.13
+
+    # test "operator completion" do
+    #   {binding, env} = eval(do: nil)
+
+    #   assert [
+    #            %{
+    #              label: "++/2",
+    #              kind: :function,
+    #              detail: "left ++ right",
+    #              documentation: """
+    #              List concatenation operator. Concatenates a proper list and a term, returning a list.
+
+    #              ```
+    #              @spec list() ++ term() ::
+    #                maybe_improper_list()
+    #              ```\
+    #              """,
+    #              insert_text: "++"
+    #            },
+    #            %{
+    #              label: "+/1",
+    #              kind: :function,
+    #              detail: "+value",
+    #              documentation: """
+    #              Arithmetic positive unary operator.
+
+    #              ```
+    #              @spec +integer() :: integer()
+    #              @spec +float() :: float()
+    #              ```\
+    #              """,
+    #              insert_text: "+"
+    #            },
+    #            %{
+    #              label: "+/2",
+    #              kind: :function,
+    #              detail: "left + right",
+    #              documentation: """
+    #              Arithmetic addition operator.
+
+    #              ```
+    #              @spec integer() + integer() ::
+    #                integer()
+    #              @spec float() + float() :: float()
+    #              @spec integer() + float() :: float()
+    #              @spec float() + integer() :: float()
+    #              ```\
+    #              """,
+    #              insert_text: "+"
+    #            }
+    #          ] = Intellisense.get_completion_items("+", binding, env)
+
+    #   assert [
+    #            %{label: "+/1"},
+    #            %{label: "+/2"}
+    #          ] = Intellisense.get_completion_items("+/", binding, env)
+
+    #   assert [
+    #            %{label: "++/2"}
+    #          ] = Intellisense.get_completion_items("++/", binding, env)
+    # end
+
     test "map atom key completion" do
       {binding, env} =
         eval do
@@ -692,6 +760,11 @@ defmodule Livebook.IntellisenseTest do
                %{label: "derive/2"},
                %{label: "derive/3"}
              ] = Intellisense.get_completion_items("der", binding, env)
+
+      assert [
+               %{label: "count/1"},
+               %{label: "count/2"}
+             ] = Intellisense.get_completion_items("count/", binding, env)
     end
 
     test "ignores quoted variables when performing variable completion" do