10113100113 has 16 divisors (see below), whose sum is σ = 14297440320. Its totient is φ = 6340594176.

The previous prime is 10113100099. The next prime is 10113100141. The reversal of 10113100113 is 31100131101.

It is not a de Polignac number, because 10113100113 - 2¹⁰ = 10113099089 is a prime.

It is a super-2 number, since 2×10113100113² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10113100013) 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, 639720 + ... + 655337.

It is an arithmetic number, because the mean of its divisors is an integer number (893590020).

Almost surely, 2^10113100113 is an apocalyptic number.

It is an amenable number.

10113100113 is a deficient number, since it is larger than the sum of its proper divisors (4184340207).

10113100113 is a wasteful number, since it uses less digits than its factorization.

10113100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295216.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 10113100113 its reverse (31100131101), we get a palindrome (41213231214).

The spelling of 10113100113 in words is "ten billion, one hundred thirteen million, one hundred thousand, one hundred thirteen".