13131315 has 20 divisors (see below), whose sum is σ = 23539824. Its totient is φ = 7003152.

The previous prime is 13131281. The next prime is 13131317. The reversal of 13131315 is 51313131.

13131315 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13131315 - 2⁷ = 13131187 is a prime.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (13131317) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15807 + ... + 16616.

Almost surely, 2^13131315 is an apocalyptic number.

13131315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13131315 is a deficient number, since it is larger than the sum of its proper divisors (10408509).

13131315 is an equidigital number, since it uses as much as digits as its factorization.

13131315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32440 (or 32431 counting only the distinct ones).

The product of its digits is 135, while the sum is 18.

The square root of 13131315 is about 3623.7156345387. The cubic root of 13131315 is about 235.9225243627.

Adding to 13131315 its reverse (51313131), we get a palindrome (64444446).

It can be divided in two parts, 131313 and 15, that added together give a triangular number (131328 = T₅₁₂).

The spelling of 13131315 in words is "thirteen million, one hundred thirty-one thousand, three hundred fifteen".