13315 has 4 divisors (see below), whose sum is σ = 15984. Its totient is φ = 10648.

The previous prime is 13313. The next prime is 13327. The reversal of 13315 is 51331.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 51331 = 7 ⋅7333.

It is a cyclic number.

It is not a de Polignac number, because 13315 - 2¹ = 13313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13295 and 13304.

It is not an unprimeable number, because it can be changed into a prime (13313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1327 + ... + 1336.

It is an arithmetic number, because the mean of its divisors is an integer number (3996).

2¹³³¹⁵ is an apocalyptic number.

13315 is a deficient number, since it is larger than the sum of its proper divisors (2669).

13315 is an equidigital number, since it uses as much as digits as its factorization.

13315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668.

The product of its digits is 45, while the sum is 13.

The square root of 13315 is about 115.3906408683. The cubic root of 13315 is about 23.7017487597.

Adding to 13315 its reverse (51331), we get a palindrome (64646).

It can be divided in two parts, 13 and 315, that multiplied together give a triangular number (4095 = T₉₀).

The spelling of 13315 in words is "thirteen thousand, three hundred fifteen".