THE SOLUTION:
13.
The numbers represent the moons that orbit each planet in our solar system, starting with Mercury and working outward from the Sun:
Mercury = 0 moons
Venus = 0 moons
Earth = 1 moon
Mars = 2 moons
Jupiter = 63 moons
Saturn = 61 moons
Uranus = 27 moons
Neptune = 13 moons