122133130131031 has 16 divisors (see below), whose sum is σ = 123393832403968. Its totient is φ = 120880024574400.

The previous prime is 122133130130993. The next prime is 122133130131043. The reversal of 122133130131031 is 130131031331221.

It is a cyclic number.

It is not a de Polignac number, because 122133130131031 - 2¹⁵ = 122133130098263 is a prime.

It is a super-2 number, since 2×122133130131031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122133130130987 and 122133130131005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122133130131091) 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, 42703576 + ... + 45473746.

It is an arithmetic number, because the mean of its divisors is an integer number (7712114525248).

Almost surely, 2^{122133130131031} is an apocalyptic number.

122133130131031 is a deficient number, since it is larger than the sum of its proper divisors (1260702272937).

122133130131031 is a wasteful number, since it uses less digits than its factorization.

122133130131031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771542.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 122133130131031 its reverse (130131031331221), we get a palindrome (252264161462252).

The spelling of 122133130131031 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, one hundred thirty million, one hundred thirty-one thousand, thirty-one".