123013203015313 has 16 divisors (see below), whose sum is σ = 132880761921600. Its totient is φ = 113203526610240.

The previous prime is 123013203015301. The next prime is 123013203015341. The reversal of 123013203015313 is 313510302310321.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 123013203015313 - 2¹⁷ = 123013202884241 is a prime.

It is a super-2 number, since 2×123013203015313² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123013203015113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122648103 + ... + 123647011.

It is an arithmetic number, because the mean of its divisors is an integer number (8305047620100).

Almost surely, 2^{123013203015313} is an apocalyptic number.

123013203015313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123013203015313 is a deficient number, since it is larger than the sum of its proper divisors (9867558906287).

123013203015313 is a wasteful number, since it uses less digits than its factorization.

123013203015313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027872.

The product of its (nonzero) digits is 4860, while the sum is 28.

Adding to 123013203015313 its reverse (313510302310321), we get a palindrome (436523505325634).

The spelling of 123013203015313 in words is "one hundred twenty-three trillion, thirteen billion, two hundred three million, fifteen thousand, three hundred thirteen".