13520313 has 12 divisors (see below), whose sum is σ = 19582420. Its totient is φ = 8989056.

The previous prime is 13520303. The next prime is 13520333. The reversal of 13520313 is 31302531.

13520313 is a `hidden beast` number, since 1 + 352 + 0 + 313 = 666.

13520313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6487209 + 7033104 = 2547^2 + 2652^2 .

It is not a de Polignac number, because 13520313 - 2⁶ = 13520249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13520303) 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, 1845 + ... + 5517.

Almost surely, 2^13520313 is an apocalyptic number.

It is an amenable number.

13520313 is a deficient number, since it is larger than the sum of its proper divisors (6062107).

13520313 is a wasteful number, since it uses less digits than its factorization.

13520313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4088 (or 4085 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 13520313 is about 3676.9978243127. The cubic root of 13520313 is about 238.2295234192.

Adding to 13520313 its reverse (31302531), we get a palindrome (44822844).

The spelling of 13520313 in words is "thirteen million, five hundred twenty thousand, three hundred thirteen".