Karatsev has moved from 19th to 16th place in the list of the best tennis players in the world, according to the press service of the ATP.
The 28-year-old tennis player entered the world's top 20 for the first time last week.
Russian Andrei Rublev kept the sixth line.
Karen Khachanov dropped to 31st place.
The first racket of the world remains the Serb Novak Djokovic.
The second place is taken by the Russian Daniil Medvedev.
The third is Stefanos Tsitsipas from Greece.
Karatsev was unable to reach the quarterfinals of the tournament in St. Petersburg last week.
Earlier it was reported that Horvat Marin Chilich defeated American Taylor Fritz in the final match of the tournament in St. Petersburg.