100101113131 has 8 divisors (see below), whose sum is σ = 100618380000. Its totient is φ = 99583989120.

The previous prime is 100101113089. The next prime is 100101113137. The reversal of 100101113131 is 131311101001.

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 100101113131 - 2⁷ = 100101113003 is a prime.

It is a super-2 number, since 2×100101113131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100101113137) 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, 1550211 + ... + 1613491.

It is an arithmetic number, because the mean of its divisors is an integer number (12577297500).

Almost surely, 2^100101113131 is an apocalyptic number.

100101113131 is a deficient number, since it is larger than the sum of its proper divisors (517266869).

100101113131 is an equidigital number, since it uses as much as digits as its factorization.

100101113131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71429.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 100101113131 its reverse (131311101001), we get a palindrome (231412214132).

The spelling of 100101113131 in words is "one hundred billion, one hundred one million, one hundred thirteen thousand, one hundred thirty-one".