13007313 has 48 divisors (see below), whose sum is σ = 21767616. Its totient is φ = 7413120.

The previous prime is 13007303. The next prime is 13007339. The reversal of 13007313 is 31370031.

It is not a de Polignac number, because 13007313 - 2⁶ = 13007249 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13007303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194106 + ... + 194172.

It is an arithmetic number, because the mean of its divisors is an integer number (453492).

Almost surely, 2^13007313 is an apocalyptic number.

It is an amenable number.

13007313 is a deficient number, since it is larger than the sum of its proper divisors (8760303).

13007313 is a wasteful number, since it uses less digits than its factorization.

13007313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 171 counting only the distinct ones).

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

The square root of 13007313 is about 3606.5652635160. The cubic root of 13007313 is about 235.1775510470.

Adding to 13007313 its reverse (31370031), we get a palindrome (44377344).

The spelling of 13007313 in words is "thirteen million, seven thousand, three hundred thirteen".