123112122311313 has 12 divisors (see below), whose sum is σ = 181964170445200. Its totient is φ = 80166033132696.

The previous prime is 123112122311293. The next prime is 123112122311327. The reversal of 123112122311313 is 313113221211321.

123112122311313 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 12 + 1 + 22 + 311 + 313 = 666.

It is not a de Polignac number, because 123112122311313 - 2⁵ = 123112122311281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123112122311413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159059589163 + ... + 159059589936.

Almost surely, 2^{123112122311313} is an apocalyptic number.

It is an amenable number.

123112122311313 is a deficient number, since it is larger than the sum of its proper divisors (58852048133887).

123112122311313 is a wasteful number, since it uses less digits than its factorization.

123112122311313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318119179148 (or 318119179145 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

Adding to 123112122311313 its reverse (313113221211321), we get a palindrome (436225343522634).

The spelling of 123112122311313 in words is "one hundred twenty-three trillion, one hundred twelve billion, one hundred twenty-two million, three hundred eleven thousand, three hundred thirteen".