100307313 has 12 divisors (see below), whose sum is σ = 144986868. Its totient is φ = 66826080.

The previous prime is 100307299. The next prime is 100307321. The reversal of 100307313 is 313703001.

It can be written as a sum of positive squares in 2 ways, for example, as 13593969 + 86713344 = 3687^2 + 9312^2 .

It is not a de Polignac number, because 100307313 - 2⁸ = 100307057 is a prime.

It is a super-3 number, since 3×100307313³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100307813) 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, 15183 + ... + 20763.

It is an arithmetic number, because the mean of its divisors is an integer number (12082239).

Almost surely, 2^100307313 is an apocalyptic number.

It is an amenable number.

100307313 is a deficient number, since it is larger than the sum of its proper divisors (44679555).

100307313 is a wasteful number, since it uses less digits than its factorization.

100307313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7584 (or 7581 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 18.

The square root of 100307313 is about 10015.3538629446. The cubic root of 100307313 is about 464.6338706569.

The spelling of 100307313 in words is "one hundred million, three hundred seven thousand, three hundred thirteen".