100002113113 has 4 divisors (see below), whose sum is σ = 114288129280. Its totient is φ = 85716096948.

The previous prime is 100002113093. The next prime is 100002113137. The reversal of 100002113113 is 311311200001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100002113113 - 2²⁵ = 99968558681 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100002113093 and 100002113102.

It is not an unprimeable number, because it can be changed into a prime (100002113173) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7143008073 + ... + 7143008086.

It is an arithmetic number, because the mean of its divisors is an integer number (28572032320).

Almost surely, 2^100002113113 is an apocalyptic number.

It is an amenable number.

100002113113 is a deficient number, since it is larger than the sum of its proper divisors (14286016167).

100002113113 is an equidigital number, since it uses as much as digits as its factorization.

100002113113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14286016166.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 100002113113 its reverse (311311200001), we get a palindrome (411313313114).

The spelling of 100002113113 in words is "one hundred billion, two million, one hundred thirteen thousand, one hundred thirteen".