123131545131321 has 24 divisors (see below), whose sum is σ = 180300590623296. Its totient is φ = 80965916906400.

The previous prime is 123131545131313. The next prime is 123131545131341.

123131545131321 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 3 + 1 + 5 + 4 + 513 + 132 + 1 = 666.

123131545131321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 123131545131321 - 2³ = 123131545131313 is a prime.

It is a super-2 number, since 2×123131545131321² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123131545131341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257286115 + ... + 257764248.

It is an arithmetic number, because the mean of its divisors is an integer number (7512524609304).

Almost surely, 2^{123131545131321} is an apocalyptic number.

It is an amenable number.

123131545131321 is a deficient number, since it is larger than the sum of its proper divisors (57169045491975).

123131545131321 is a wasteful number, since it uses less digits than its factorization.

123131545131321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515050733 (or 515050730 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The spelling of 123131545131321 in words is "one hundred twenty-three trillion, one hundred thirty-one billion, five hundred forty-five million, one hundred thirty-one thousand, three hundred twenty-one".