My son turned 13 this summer, and last week the two of us went to Rome on a 4-day trip, which was his birthday gift from me. I once decided that I want to take each of my kids on a "discovery trip" when they enter the teenage years. Three years ago I went to Paris with my daughter, and for my son I chose the Eternal City.
We had wonderful days in Rome, walking, talking, enjoying art, meals, icecream...
There is tremendous value in traveling alone with your child. You get to talk, listen, learn to know each other better, and you make memories.
The picture is taken at the Piazza del Risorgimento, just outside the walls of the Vatican City.