sharke
That's an Adom13.
I really gotta concur with sharke's interpretation. It is of course dependent on the key/context but if this chord was just dropped on my balls as is... definitely A dominant 13.
It is of course missing two notes for it's six string barre chord formation (fret 7 on the 5th string, fret 5 on the high E string) but played as written it totally implies those notes anyway.*
Then again I am an "Occam's Razor/path of least resistance" type of dude when "solving" chord names.
More data would be needed to sway my opinion away from Adom13 (like a chord progression, bass line, melody, etc).
I've always hated chord naming conventions though. Totally silly and unnecessarily confusing.
* You should totally add those notes BTW. Not hard. You just form an Adom7 barre chord (six string formation) and plop your pinky down on the 7th fret of the B (2nd) string.