123243505002513 has 96 divisors (see below), whose sum is σ = 205286425344000. Its totient is φ = 69790602585600.

The previous prime is 123243505002503. The next prime is 123243505002521. The reversal of 123243505002513 is 315200505342321.

123243505002513 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 4 + 350 + 50 + 0 + 251 + 3 = 666.

It is not a de Polignac number, because 123243505002513 - 2⁵ = 123243505002481 is a prime.

It is a super-2 number, since 2×123243505002513² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123243505002503) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24604410553 + ... + 24604415561.

It is an arithmetic number, because the mean of its divisors is an integer number (2138400264000).

Almost surely, 2^{123243505002513} is an apocalyptic number.

It is an amenable number.

123243505002513 is a deficient number, since it is larger than the sum of its proper divisors (82042920341487).

123243505002513 is a wasteful number, since it uses less digits than its factorization.

123243505002513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8683 (or 8680 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 123243505002513 in words is "one hundred twenty-three trillion, two hundred forty-three billion, five hundred five million, two thousand, five hundred thirteen".