Will a Neutered male rat smell less than an intact female ?

i am looking to get a male rat and get him neutered for less odor but i am not able to get a direct answer from an owner. i used to have a female and really only her cage would smell if i did not clean it 2x a week. i have a vet already that can do the procedure. i would like a male as they seem more relaxed and can get larger. my last female was always on the move but was a great pet. anyone input on this matter is appreciated.



Thank you