100388013 has 32 divisors (see below), whose sum is σ = 152162304. Its totient is φ = 58806000.

The previous prime is 100388011. The next prime is 100388017. The reversal of 100388013 is 310883001.

It is not a de Polignac number, because 100388013 - 2¹ = 100388011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100388011) 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, 123378 + ... + 124188.

It is an arithmetic number, because the mean of its divisors is an integer number (4755072).

Almost surely, 2^100388013 is an apocalyptic number.

It is an amenable number.

100388013 is a deficient number, since it is larger than the sum of its proper divisors (51774291).

100388013 is an equidigital number, since it uses as much as digits as its factorization.

100388013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 100388013 is about 10019.3818671613. The cubic root of 100388013 is about 464.7584408443.

The spelling of 100388013 in words is "one hundred million, three hundred eighty-eight thousand, thirteen".