123531311064105 has 64 divisors (see below), whose sum is σ = 251010791915520. Its totient is φ = 56465484792768.

The previous prime is 123531311064097. The next prime is 123531311064149. The reversal of 123531311064105 is 501460113135321.

123531311064105 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 3 + 1 + 3 + 1 + 1 + 0 + 641 + 0 + 5 = 666.

It is not a de Polignac number, because 123531311064105 - 2³ = 123531311064097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123531311064105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2035584 + ... + 15849486.

It is an arithmetic number, because the mean of its divisors is an integer number (3922043623680).

Almost surely, 2^{123531311064105} is an apocalyptic number.

123531311064105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123531311064105 is an abundant number, since it is smaller than the sum of its proper divisors (127479480851415).

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

123531311064105 is a wasteful number, since it uses less digits than its factorization.

123531311064105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13823387 (or 13823381 counting only the distinct ones).

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

Adding to 123531311064105 its reverse (501460113135321), we get a palindrome (624991424199426).

The spelling of 123531311064105 in words is "one hundred twenty-three trillion, five hundred thirty-one billion, three hundred eleven million, sixty-four thousand, one hundred five".