13355307 has 16 divisors (see below), whose sum is σ = 22612480. Its totient is φ = 7631496.

The previous prime is 13355297. The next prime is 13355323. The reversal of 13355307 is 70355331.

13355307 is a `hidden beast` number, since 1 + 3 + 355 + 307 = 666.

It is not a de Polignac number, because 13355307 - 2⁴ = 13355291 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13355107) 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 in 15 ways as a sum of consecutive naturals, for example, 35143 + ... + 35520.

It is an arithmetic number, because the mean of its divisors is an integer number (1413280).

Almost surely, 2^13355307 is an apocalyptic number.

13355307 is a deficient number, since it is larger than the sum of its proper divisors (9257173).

13355307 is an equidigital number, since it uses as much as digits as its factorization.

13355307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70679 (or 70673 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 27.

The square root of 13355307 is about 3654.4913462752. The cubic root of 13355307 is about 237.2564121188.

The spelling of 13355307 in words is "thirteen million, three hundred fifty-five thousand, three hundred seven".