100013102131 has 8 divisors (see below), whose sum is σ = 103694137344. Its totient is φ = 96360492360.

The previous prime is 100013102129. The next prime is 100013102149. The reversal of 100013102131 is 131201310001.

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

It is a cyclic number.

It is not a de Polignac number, because 100013102131 - 2¹ = 100013102129 is a prime.

It is a super-2 number, since 2×100013102131² (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 (100013102731) 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, 7099195 + ... + 7113268.

It is an arithmetic number, because the mean of its divisors is an integer number (12961767168).

Almost surely, 2^100013102131 is an apocalyptic number.

100013102131 is a deficient number, since it is larger than the sum of its proper divisors (3681035213).

100013102131 is a wasteful number, since it uses less digits than its factorization.

100013102131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14212721.

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

Adding to 100013102131 its reverse (131201310001), we get a palindrome (231214412132).

The spelling of 100013102131 in words is "one hundred billion, thirteen million, one hundred two thousand, one hundred thirty-one".