123131324124100 has 72 divisors (see below), whose sum is σ = 267931978521480. Its totient is φ = 49116723578880.

The previous prime is 123131324124077. The next prime is 123131324124113. The reversal of 123131324124100 is 1421423131321.

It can be written as a sum of positive squares in 12 ways, for example, as 20971142489476 + 102160181634624 = 4579426^2 + 10107432^2 .

It is a super-2 number, since 2×123131324124100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209494234 + ... + 210081166.

It is an arithmetic number, because the mean of its divisors is an integer number (3721277479465).

Almost surely, 2^{123131324124100} is an apocalyptic number.

123131324124100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123131324124100 is an abundant number, since it is smaller than the sum of its proper divisors (144800654397380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123131324124100 is a wasteful number, since it uses less digits than its factorization.

123131324124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592729 (or 592722 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 123131324124100 its reverse (1421423131321), we get a palindrome (124552747255421).

The spelling of 123131324124100 in words is "one hundred twenty-three trillion, one hundred thirty-one billion, three hundred twenty-four million, one hundred twenty-four thousand, one hundred".