100013311131 has 16 divisors (see below), whose sum is σ = 137087901984. Its totient is φ = 64810623744.

The previous prime is 100013311121. The next prime is 100013311169. The reversal of 100013311131 is 131113310001.

It is not a de Polignac number, because 100013311131 - 2⁹ = 100013310619 is a prime.

It is a super-2 number, since 2×100013311131² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100013311131.

It is not an unprimeable number, because it can be changed into a prime (100013311121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321456 + ... + 550781.

It is an arithmetic number, because the mean of its divisors is an integer number (8567993874).

Almost surely, 2^100013311131 is an apocalyptic number.

100013311131 is a deficient number, since it is larger than the sum of its proper divisors (37074590853).

100013311131 is a wasteful number, since it uses less digits than its factorization.

100013311131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873310.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 100013311131 its reverse (131113310001), we get a palindrome (231126621132).

The spelling of 100013311131 in words is "one hundred billion, thirteen million, three hundred eleven thousand, one hundred thirty-one".