13305307 has 2 divisors, whose sum is σ = 13305308. Its totient is φ = 13305306.

The previous prime is 13305241. The next prime is 13305319. The reversal of 13305307 is 70350331.

13305307 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13305307 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13305367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6652653 + 6652654.

It is an arithmetic number, because the mean of its divisors is an integer number (6652654).

Almost surely, 2^13305307 is an apocalyptic number.

13305307 is a deficient number, since it is larger than the sum of its proper divisors (1).

13305307 is an equidigital number, since it uses as much as digits as its factorization.

13305307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 945, while the sum is 22.

The square root of 13305307 is about 3647.6440341678. The cubic root of 13305307 is about 236.9599592904.

Adding to 13305307 its reverse (70350331), we get a palindrome (83655638).

The spelling of 13305307 in words is "thirteen million, three hundred five thousand, three hundred seven".