They can sometimes be interchangeable, sometimes not:
"There were 12 members in the club. Jim voted to have a fund-raising sale. The other 11 members (here you can also say: "The 11 other members") voted against having one."
"There were 15 members in the club. Jim and 2 others voted to have the fund-raising sale. Frank and 11 other members (here you cannot say: "and other 1