100012004013 has 16 divisors (see below), whose sum is σ = 136232248320. Its totient is φ = 65234166576.

The previous prime is 100012004009. The next prime is 100012004017. The reversal of 100012004013 is 310400210001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100012004009) and next prime (100012004017).

It is not a de Polignac number, because 100012004013 - 2² = 100012004009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100012004013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012004017) 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, 308206 + ... + 543152.

It is an arithmetic number, because the mean of its divisors is an integer number (8514515520).

Almost surely, 2^100012004013 is an apocalyptic number.

It is an amenable number.

100012004013 is a deficient number, since it is larger than the sum of its proper divisors (36220244307).

100012004013 is a wasteful number, since it uses less digits than its factorization.

100012004013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238016.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100012004013 its reverse (310400210001), we get a palindrome (410412214014).

The spelling of 100012004013 in words is "one hundred billion, twelve million, four thousand, thirteen".