100232002013 has 96 divisors (see below), whose sum is σ = 133391892480. Its totient is φ = 74424873600.

The previous prime is 100232002009. The next prime is 100232002021. The reversal of 100232002013 is 310200232001.

It is a happy number.

It is not a de Polignac number, because 100232002013 - 2² = 100232002009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100232002313) 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 95 ways as a sum of consecutive naturals, for example, 29556548 + ... + 29559938.

It is an arithmetic number, because the mean of its divisors is an integer number (1389498880).

Almost surely, 2^100232002013 is an apocalyptic number.

100232002013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100232002013 is a deficient number, since it is larger than the sum of its proper divisors (33159890467).

100232002013 is a wasteful number, since it uses less digits than its factorization.

100232002013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 100232002013 its reverse (310200232001), we get a palindrome (410432234014).

The spelling of 100232002013 in words is "one hundred billion, two hundred thirty-two million, two thousand, thirteen".