311121113101 has 16 divisors (see below), whose sum is σ = 317739178368. Its totient is φ = 304562808000.

The previous prime is 311121113087. The next prime is 311121113141. The reversal of 311121113101 is 101311121113.

It is a cyclic number.

It is not a de Polignac number, because 311121113101 - 2²³ = 311112724493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311121113141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31418251 + ... + 31428151.

It is an arithmetic number, because the mean of its divisors is an integer number (19858698648).

Almost surely, 2^311121113101 is an apocalyptic number.

It is an amenable number.

311121113101 is a deficient number, since it is larger than the sum of its proper divisors (6618065267).

311121113101 is a wasteful number, since it uses less digits than its factorization.

311121113101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12852.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 311121113101 its reverse (101311121113), we get a palindrome (412432234214).

It can be divided in two parts, 311121113 and 101, that multiplied together give a palindrome (31423232413).

The spelling of 311121113101 in words is "three hundred eleven billion, one hundred twenty-one million, one hundred thirteen thousand, one hundred one".