123331310434125 has 64 divisors (see below), whose sum is σ = 231429261423360. Its totient is φ = 64794957004800.

The previous prime is 123331310433983. The next prime is 123331310434127. The reversal of 123331310434125 is 521434013133321.

123331310434125 is a `hidden beast` number, since 1 + 2 + 3 + 331 + 310 + 4 + 3 + 4 + 1 + 2 + 5 = 666.

It is not a de Polignac number, because 123331310434125 - 2¹⁵ = 123331310401357 is a prime.

It is a super-2 number, since 2×123331310434125² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123331310434125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123331310434127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272479924 + ... + 272932173.

It is an arithmetic number, because the mean of its divisors is an integer number (3616082209740).

Almost surely, 2^{123331310434125} is an apocalyptic number.

123331310434125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123331310434125 is a deficient number, since it is larger than the sum of its proper divisors (108097950989235).

123331310434125 is an equidigital number, since it uses as much as digits as its factorization.

123331310434125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545412188 (or 545412172 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 123331310434125 its reverse (521434013133321), we get a palindrome (644765323567446).

The spelling of 123331310434125 in words is "one hundred twenty-three trillion, three hundred thirty-one billion, three hundred ten million, four hundred thirty-four thousand, one hundred twenty-five".