If you are actually making a game, any time spent trying to figure out how to game the system would be better spent doing almost anything to make your game better. There’s too much randomness in terms of what other games are released to try to waste the energy necessary to determine that you should release a game at exactly the 13 hour of the 13th day of the 13th month because that’s what you think will maximize profits.
If you’re a big developer, you’ll want to release the game right before the end of the month; enough time for the game to be highly rated by fans and get the monthly prize money, but not enough time for the game to get badges and the rating be averaged.