100031310020113 has 32 divisors (see below), whose sum is σ = 101123952652800. Its totient is φ = 98947552112640.

The previous prime is 100031310020101. The next prime is 100031310020171. The reversal of 100031310020113 is 311020013130001.

It is a cyclic number.

It is not a de Polignac number, because 100031310020113 - 2¹³ = 100031310011921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100031310020183) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21516734613 + ... + 21516739261.

It is an arithmetic number, because the mean of its divisors is an integer number (3160123520400).

Almost surely, 2^{100031310020113} is an apocalyptic number.

It is an amenable number.

100031310020113 is a deficient number, since it is larger than the sum of its proper divisors (1092642632687).

100031310020113 is a wasteful number, since it uses less digits than its factorization.

100031310020113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6217.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 100031310020113 its reverse (311020013130001), we get a palindrome (411051323150114).

The spelling of 100031310020113 in words is "one hundred trillion, thirty-one billion, three hundred ten million, twenty thousand, one hundred thirteen".