100110002013 has 24 divisors (see below), whose sum is σ = 165970254528. Its totient is φ = 56960188992.

The previous prime is 100110002011. The next prime is 100110002029. The reversal of 100110002013 is 310200011001.

It is not a de Polignac number, because 100110002013 - 2¹ = 100110002011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100110001986 and 100110002004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110002011) 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, 3395295 + ... + 3424652.

It is an arithmetic number, because the mean of its divisors is an integer number (6915427272).

Almost surely, 2^100110002013 is an apocalyptic number.

It is an amenable number.

100110002013 is a deficient number, since it is larger than the sum of its proper divisors (65860252515).

100110002013 is a wasteful number, since it uses less digits than its factorization.

100110002013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6820193 (or 6820190 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100110002013 its reverse (310200011001), we get a palindrome (410310013014).

The spelling of 100110002013 in words is "one hundred billion, one hundred ten million, two thousand, thirteen".