I looked it up. The value in question, 31497955, is your Steam ID. Said ID is currently VAC banned. Since the official matchmaking uses VAC, there's a good chance you'll get kicked with that exact error message. So yes, you're banned from CS:GO but as far as I know that doesn't affect non-VAC servers.
To avoid getting off-topic, I feel a little bit queasy.
Ban was for cheating on CS:S (I'm not going to go into details how I got it, but it wasn't me) and it also affected HL2DM, HL2 mods and TF2.
It doesn't affect new games you buy after receiving the ban.
I can normally play on CS:GO, L4D2, Insurgency, Red Orchestra 2 and other VAC protected games.
It's not the case.
And the external API gives information that there's a ban, but doesn't show on which games. Only Steam client shows it.