In a large microwave-safe bowl, place butter, both sugars and cocoa powder. Microwave for 1 minute and 30 seconds. Stir very well and allow to cool for about 3 minutes before continuing. Add the eggs and vanilla and stir until incorporated. Spread the mixture into prepared pan and spread a layer of dulce de leche on top, swirl with a knife lightly - the batter is thick so it's hard to swirl. Top with remaining batter and swirl again slightly.