123013133112321 has 16 divisors (see below), whose sum is σ = 182258828040000. Its totient is φ = 82001038198464.

The previous prime is 123013133112319. The next prime is 123013133112377. The reversal of 123013133112321 is 123211331310321.

123013133112321 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 1 + 3 + 1 + 331 + 1 + 2 + 321 = 666.

It is not a de Polignac number, because 123013133112321 - 2¹ = 123013133112319 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (123013133152321) 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, 214074696 + ... + 214648553.

It is an arithmetic number, because the mean of its divisors is an integer number (11391176752500).

Almost surely, 2^{123013133112321} is an apocalyptic number.

It is an amenable number.

123013133112321 is a deficient number, since it is larger than the sum of its proper divisors (59245694927679).

123013133112321 is a wasteful number, since it uses less digits than its factorization.

123013133112321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428733885 (or 428733879 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 123013133112321 its reverse (123211331310321), we get a palindrome (246224464422642).

The spelling of 123013133112321 in words is "one hundred twenty-three trillion, thirteen billion, one hundred thirty-three million, one hundred twelve thousand, three hundred twenty-one".