123013203133513 has 32 divisors (see below), whose sum is σ = 157120546867200. Its totient is φ = 95472553050000.

The previous prime is 123013203133477. The next prime is 123013203133549. The reversal of 123013203133513 is 315331302310321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123013203133477) and next prime (123013203133549).

It is not a de Polignac number, because 123013203133513 - 2²⁵ = 123013169579081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123013203133553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64000293 + ... + 65894338.

It is an arithmetic number, because the mean of its divisors is an integer number (4910017089600).

Almost surely, 2^{123013203133513} is an apocalyptic number.

It is an amenable number.

123013203133513 is a deficient number, since it is larger than the sum of its proper divisors (34107343733687).

123013203133513 is a wasteful number, since it uses less digits than its factorization.

123013203133513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129894914 (or 129894900 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 31.

Adding to 123013203133513 its reverse (315331302310321), we get a palindrome (438344505443834).

The spelling of 123013203133513 in words is "one hundred twenty-three trillion, thirteen billion, two hundred three million, one hundred thirty-three thousand, five hundred thirteen".