100113310013 has 4 divisors (see below), whose sum is σ = 100138174560. Its totient is φ = 100088445468.

The previous prime is 100113309997. The next prime is 100113310021. The reversal of 100113310013 is 310013311001.

It is a happy number.

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 100113310013 - 2⁴ = 100113309997 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100113310013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100113310813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12426233 + ... + 12434286.

It is an arithmetic number, because the mean of its divisors is an integer number (25034543640).

Almost surely, 2^100113310013 is an apocalyptic number.

It is an amenable number.

100113310013 is a deficient number, since it is larger than the sum of its proper divisors (24864547).

100113310013 is an equidigital number, since it uses as much as digits as its factorization.

100113310013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24864546.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 100113310013 its reverse (310013311001), we get a palindrome (410126621014).

The spelling of 100113310013 in words is "one hundred billion, one hundred thirteen million, three hundred ten thousand, thirteen".