13501313 has 12 divisors (see below), whose sum is σ = 15966612. Its totient is φ = 11380320.

The previous prime is 13501297. The next prime is 13501321. The reversal of 13501313 is 31310531.

It can be written as a sum of positive squares in 2 ways, for example, as 200704 + 13300609 = 448^2 + 3647^2 .

It is not a de Polignac number, because 13501313 - 2⁴ = 13501297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13501291 and 13501300.

It is not an unprimeable number, because it can be changed into a prime (13501393) 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, 731 + ... + 5247.

It is an arithmetic number, because the mean of its divisors is an integer number (1330551).

Almost surely, 2^13501313 is an apocalyptic number.

It is an amenable number.

13501313 is a deficient number, since it is larger than the sum of its proper divisors (2465299).

13501313 is an equidigital number, since it uses as much as digits as its factorization.

13501313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592 (or 4585 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 13501313 is about 3674.4132864989. The cubic root of 13501313 is about 238.1178770175.

Adding to 13501313 its reverse (31310531), we get a palindrome (44811844).

The spelling of 13501313 in words is "thirteen million, five hundred one thousand, three hundred thirteen".