Preheat oven to 350 degrees and spray a 9 or 10-inch springform pan with cooking spray.
Whisk together flour baking powder, baking soda, salt, and cinnamon in a bowl and set aside.
Beat butter on medium-high speed with an electric mixer until smooth and creamy. Add sugar and mix until fluffy. Add eggs and mix well. Then add flour mixture and milk; mix until combined. Add apple butter and mix until incorporated.
Pour batter into the prepared springform pan, and place the pan on a baking sheet. Using the squeeze bottle or piping bag, pipe a spiral of cinnamon filling on the top of the cake. (I piped a thin spiral first, and then went back and make it thicker.)
Bake for 40-45 minutes, or until center has set and a toothpick inserted into the center of the cake (not the cinnamon part) comes out clean. Let the cake cool for 10-15 minutes.