Preheat the oven to 350°F. Grease and flour a 9-inch cake pan.
In a mixing bowl, beat together softened butter, granulated sugar, brown sugar, and vegetable oil.
Add Nutella, vanilla, and eggs. Mix until fully combined.
Incorporate flour, cocoa powder, baking soda, baking powder, salt, and buttermilk. Mix until just combined.
Add hot coffee and mix until incorporated.
Pour the batter into the prepared pan and bake for 40 minutes or until done.
Let the cake cool for 15 minutes before transferring it to a sheet.
Allow the cake to cool completely before frosting.