31122022113 has 144 divisors (see below), whose sum is σ = 56931563520. Its totient is φ = 16037813376.

The previous prime is 31122022081. The next prime is 31122022117.

31122022113 is a `hidden beast` number, since 311 + 220 + 22 + 113 = 666.

31122022113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31122022113 - 2⁵ = 31122022081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31122022117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 137101306 + ... + 137101532.

It is an arithmetic number, because the mean of its divisors is an integer number (395358080).

Almost surely, 2^31122022113 is an apocalyptic number.

It is an amenable number.

31122022113 is a deficient number, since it is larger than the sum of its proper divisors (25809541407).

31122022113 is a wasteful number, since it uses less digits than its factorization.

31122022113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 311220 and 22113, that added together give a palindrome (333333).

The spelling of 31122022113 in words is "thirty-one billion, one hundred twenty-two million, twenty-two thousand, one hundred thirteen".