123000113102031 has 24 divisors (see below), whose sum is σ = 193830833885520. Its totient is φ = 74540725459200.

The previous prime is 123000113102029. The next prime is 123000113102107. The reversal of 123000113102031 is 130201311000321.

123000113102031 is a `hidden beast` number, since 1 + 2 + 300 + 0 + 1 + 1 + 310 + 20 + 31 = 666.

It is not a de Polignac number, because 123000113102031 - 2¹ = 123000113102029 is a prime.

It is a super-2 number, since 2×123000113102031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123000113101995 and 123000113102013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123000113101031) 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, 38433946 + ... + 41511063.

It is an arithmetic number, because the mean of its divisors is an integer number (8076284745230).

Almost surely, 2^{123000113102031} is an apocalyptic number.

123000113102031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

123000113102031 is a deficient number, since it is larger than the sum of its proper divisors (70830720783489).

123000113102031 is a wasteful number, since it uses less digits than its factorization.

123000113102031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79960567 (or 79960564 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 123000113102031 its reverse (130201311000321), we get a palindrome (253201424102352).

The spelling of 123000113102031 in words is "one hundred twenty-three trillion, one hundred thirteen million, one hundred two thousand, thirty-one".