100013131013 has 4 divisors (see below), whose sum is σ = 100947833280. Its totient is φ = 99078428748.

The previous prime is 100013131003. The next prime is 100013131037. The reversal of 100013131013 is 310131310001.

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 100013131013 - 2⁶ = 100013130949 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013131003) 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, 467350973 + ... + 467351186.

It is an arithmetic number, because the mean of its divisors is an integer number (25236958320).

Almost surely, 2^100013131013 is an apocalyptic number.

It is an amenable number.

100013131013 is a deficient number, since it is larger than the sum of its proper divisors (934702267).

100013131013 is an equidigital number, since it uses as much as digits as its factorization.

100013131013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934702266.

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

Adding to 100013131013 its reverse (310131310001), we get a palindrome (410144441014).

The spelling of 100013131013 in words is "one hundred billion, thirteen million, one hundred thirty-one thousand, thirteen".