13307 has 4 divisors (see below), whose sum is σ = 15216. Its totient is φ = 11400.

The previous prime is 13297. The next prime is 13309. The reversal of 13307 is 70331.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 70331 = 53 ⋅1327.

It is a cyclic number.

It is not a de Polignac number, because 13307 - 2⁴ = 13291 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13291 and 13300.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13307.

It is not an unprimeable number, because it can be changed into a prime (13309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 944 + ... + 957.

It is an arithmetic number, because the mean of its divisors is an integer number (3804).

2¹³³⁰⁷ is an apocalyptic number.

13307 is a deficient number, since it is larger than the sum of its proper divisors (1909).

13307 is an equidigital number, since it uses as much as digits as its factorization.

13307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908.

The product of its (nonzero) digits is 63, while the sum is 14.

The square root of 13307 is about 115.3559708034. The cubic root of 13307 is about 23.6970009320.

Adding to 13307 its reverse (70331), we get a palindrome (83638).

The spelling of 13307 in words is "thirteen thousand, three hundred seven".