123315405154513 has 32 divisors (see below), whose sum is σ = 145829331325440. Its totient is φ = 103411837975680.

The previous prime is 123315405154477. The next prime is 123315405154541. The reversal of 123315405154513 is 315451504513321.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-123315405154513 is a prime.

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 123315405154513.

It is not an unprimeable number, because it can be changed into a prime (123315405154573) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34220581 + ... + 37652077.

It is an arithmetic number, because the mean of its divisors is an integer number (4557166603920).

Almost surely, 2^{123315405154513} is an apocalyptic number.

123315405154513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123315405154513 is a deficient number, since it is larger than the sum of its proper divisors (22513926170927).

123315405154513 is a wasteful number, since it uses less digits than its factorization.

123315405154513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3433034 (or 3433008 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 43.

Adding to 123315405154513 its reverse (315451504513321), we get a palindrome (438766909667834).

The spelling of 123315405154513 in words is "one hundred twenty-three trillion, three hundred fifteen billion, four hundred five million, one hundred fifty-four thousand, five hundred thirteen".