Yes, the number next to the lightning symbol is related to playing games. IF I'm not mistaken, you receive a specific number for beating an opponent. However, if I remember correctly if you don't win, you still receive a number of points equal to the number of prize cards you took. As you accumulate these points, you earn prizes on the monthly prize ladder. The more points you accumulate, the better prizes are available.
I hope this clarifies things a bit. Let me know if you have any more questions.