13013307 has 12 divisors (see below), whose sum is σ = 19305520. Its totient is φ = 8440848.

The previous prime is 13013303. The next prime is 13013317. The reversal of 13013307 is 70331031.

13013307 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13013307 - 2² = 13013303 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13013307.

It is not an unprimeable number, because it can be changed into a prime (13013303) 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, 19207 + ... + 19872.

Almost surely, 2^13013307 is an apocalyptic number.

13013307 is a deficient number, since it is larger than the sum of its proper divisors (6292213).

13013307 is a wasteful number, since it uses less digits than its factorization.

13013307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39122 (or 39119 counting only the distinct ones).

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

The square root of 13013307 is about 3607.3961523514. The cubic root of 13013307 is about 235.2136701585.

Adding to 13013307 its reverse (70331031), we get a palindrome (83344338).

The spelling of 13013307 in words is "thirteen million, thirteen thousand, three hundred seven".