Is there danger in neutering 13 year old lab?

I have a 13 year old male lab with me since he was a puppy. He has gotten very grumpy, growling randomly at all of us, and fighting with my daughters dog (a male not neutered yet) even though they were best friends. We would like to get both dogs neutered but I am worried about the lab having a hard time with the procedure. Would it be ok for a dog at his age to be neutered? What are the risks? He is in very good shape for his age. I take him to the beach all the time, he has Obsessive Compulsive Ball Behavior, always has and I swear he would try to swim to Hawaii from San Francisco beaches to get that ball. It is quite hilarious. He acts like a puppy but I can tell he will get sore from his running around and sleep and be real lazy and grumpy for a couple of days after. He is still a wanderer if he gets a chance to sneak out and I worry about him (the neighbors will always call since my phone number is on his dog tags). Would it help him if he was neutered?