100931013 has 12 divisors (see below), whose sum is σ = 145959840. Its totient is φ = 67208616.

The previous prime is 100930997. The next prime is 100931029. The reversal of 100931013 is 310139001.

It is an interprime number because it is at equal distance from previous prime (100930997) and next prime (100931029).

It is not a de Polignac number, because 100931013 - 2⁴ = 100930997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100931093) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2170 + ... + 14372.

It is an arithmetic number, because the mean of its divisors is an integer number (12163320).

Almost surely, 2^100931013 is an apocalyptic number.

It is an amenable number.

100931013 is a deficient number, since it is larger than the sum of its proper divisors (45028827).

100931013 is a wasteful number, since it uses less digits than its factorization.

100931013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13128 (or 13125 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

The square root of 100931013 is about 10046.4428033011. The cubic root of 100931013 is about 465.5948958992.

The spelling of 100931013 in words is "one hundred million, nine hundred thirty-one thousand, thirteen".