123020131312013 has 12 divisors (see below), whose sum is σ = 135087361473888. Its totient is φ = 111957649287120.

The previous prime is 123020131312009. The next prime is 123020131312027. The reversal of 123020131312013 is 310213131020321.

It is not a de Polignac number, because 123020131312013 - 2² = 123020131312009 is a prime.

It is a super-2 number, since 2×123020131312013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 123020131312013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123020131312063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5126253995 + ... + 5126277992.

It is an arithmetic number, because the mean of its divisors is an integer number (11257280122824).

Almost surely, 2^{123020131312013} is an apocalyptic number.

123020131312013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123020131312013 is a deficient number, since it is larger than the sum of its proper divisors (12067230161875).

123020131312013 is a wasteful number, since it uses less digits than its factorization.

123020131312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10252532084 (or 10252532071 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 123020131312013 its reverse (310213131020321), we get a palindrome (433233262332334).

The spelling of 123020131312013 in words is "one hundred twenty-three trillion, twenty billion, one hundred thirty-one million, three hundred twelve thousand, thirteen".