I don't think it would be weird, I think three years apart should be the maximum though and AFTER that it gets weird.
Ok here I go. I am 13 and this girl that I love is 16. I just want to know would it be weird if we went out or I asked her out?
The older two people get, age matters less within reason. My wife is four years older than I am. We've been married for 26 years. I never thought it was weird. Sometimes I jokingly brag about being younger.
At 13, you're too young to be dating. It's probably a crush anyway. Better to just be friends. The age difference at your ages .. Is pretty big so I have a feeling she might not be interested.