13309 has 2 divisors, whose sum is σ = 13310. Its totient is φ = 13308.

The previous prime is 13297. The next prime is 13313. The reversal of 13309 is 90331.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7225 + 6084 = 85^2 + 78^2 .

It is a cyclic number.

It is not a de Polignac number, because 13309 - 2¹¹ = 11261 is a prime.

13309 is a lucky number.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 13292 and 13301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13339) 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 as a sum of consecutive naturals, namely, 6654 + 6655.

It is an arithmetic number, because the mean of its divisors is an integer number (6655).

2¹³³⁰⁹ is an apocalyptic number.

It is an amenable number.

13309 is a deficient number, since it is larger than the sum of its proper divisors (1).

13309 is an equidigital number, since it uses as much as digits as its factorization.

13309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 13309 is about 115.3646392964. The cubic root of 13309 is about 23.6981880673.

The spelling of 13309 in words is "thirteen thousand, three hundred nine".