Litton scored 53 in the first innings and followed it up with a century in the second innings in Abu Dhabi. His performances lifted him three places to a joint 29th position in the Test batting rankings, with 610 rating points.
Meanwhile, Bangladesh batters Najmul Hossain Shanto and Mushfiqur Rahim each slipped one place, while Tanzid Tamim climbed 10 spots to 92nd.
Hasan made history by becoming the first Bangladesh fast bowler to claim a Test hat-trick.
After taking five wickets in the first innings and one in the second, he climbed seven places to 38th in the Test bowling rankings.
Among other Bangladesh bowlers, Mehidy Hasan Miraz moved up one place to 22nd, while Ebadot Hossain surged 11 spots to 67th.
Taijul Islam, who took one wicket in the match, dropped three places to 18th.
