100100002013 has 24 divisors (see below), whose sum is σ = 113661480960. Its totient is φ = 87420446400.

The previous prime is 100100001997. The next prime is 100100002033. The reversal of 100100002013 is 310200001001.

It is not a de Polignac number, because 100100002013 - 2⁴ = 100100001997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100002033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1413668 + ... + 1482786.

It is an arithmetic number, because the mean of its divisors is an integer number (4735895040).

Almost surely, 2^100100002013 is an apocalyptic number.

It is an amenable number.

100100002013 is a deficient number, since it is larger than the sum of its proper divisors (13561478947).

100100002013 is a wasteful number, since it uses less digits than its factorization.

100100002013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69329 (or 69298 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 100100002013 its reverse (310200001001), we get a palindrome (410300003014).

The spelling of 100100002013 in words is "one hundred billion, one hundred million, two thousand, thirteen".