123122311122133 has 16 divisors (see below), whose sum is σ = 130238279607040. Its totient is φ = 116070656832000.

The previous prime is 123122311122127. The next prime is 123122311122157. The reversal of 123122311122133 is 331221113221321.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-123122311122133 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 (123122311122233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4054968 + ... + 16207633.

It is an arithmetic number, because the mean of its divisors is an integer number (8139892475440).

Almost surely, 2^{123122311122133} is an apocalyptic number.

It is an amenable number.

123122311122133 is a deficient number, since it is larger than the sum of its proper divisors (7115968484907).

123122311122133 is a wasteful number, since it uses less digits than its factorization.

123122311122133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20264188.

The product of its digits is 2592, while the sum is 28.

Adding to 123122311122133 its reverse (331221113221321), we get a palindrome (454343424343454).

The spelling of 123122311122133 in words is "one hundred twenty-three trillion, one hundred twenty-two billion, three hundred eleven million, one hundred twenty-two thousand, one hundred thirty-three".