If there's a genre that truly exploits the G13 capabilities is no doubt the RTS/MMOxxx games. Whether you play LoL or WoW, this device makes it all so much easier.

I've built this profile according to my own needs, so it might not suite yours, but I think you will like it.

Pictures say all. Current profile lacks controls for units so if you like to play with Chen or other creep hypnotists you will have to add a few commands. I'll get to it later, it's not very difficult but I wanted to post this as soon as possible.
It follows my usual formula: thumb moves the camera and the rest of the fingers cast spells. If you're left-handed, you'll probably want to change the position of some keys but that's up to you.

And here's the link:
Logitech G13 profile for DOTA 2:

I hope you like it.