100313100131 has 8 divisors (see below), whose sum is σ = 105616224720. Its totient is φ = 95012324352.

The previous prime is 100313100109. The next prime is 100313100193. The reversal of 100313100131 is 131001313001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100313100131 is a prime.

It is a super-2 number, since 2×100313100131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100313100101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 499190 + ... + 670683.

It is an arithmetic number, because the mean of its divisors is an integer number (13202028090).

Almost surely, 2^100313100131 is an apocalyptic number.

100313100131 is a deficient number, since it is larger than the sum of its proper divisors (5303124589).

100313100131 is a wasteful number, since it uses less digits than its factorization.

100313100131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174405.

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

Adding to 100313100131 its reverse (131001313001), we get a palindrome (231314413132).

The spelling of 100313100131 in words is "one hundred billion, three hundred thirteen million, one hundred thousand, one hundred thirty-one".