13033305 has 48 divisors (see below), whose sum is σ = 24845184. Its totient is φ = 6531840.

The previous prime is 13033289. The next prime is 13033327. The reversal of 13033305 is 50333031.

It is not a de Polignac number, because 13033305 - 2⁴ = 13033289 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20340 + ... + 20970.

It is an arithmetic number, because the mean of its divisors is an integer number (517608).

Almost surely, 2^13033305 is an apocalyptic number.

13033305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13033305 is a deficient number, since it is larger than the sum of its proper divisors (11811879).

13033305 is an equidigital number, since it uses as much as digits as its factorization.

13033305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 18.

The square root of 13033305 is about 3610.1668936491. The cubic root of 13033305 is about 235.3340954927.

Adding to 13033305 its reverse (50333031), we get a palindrome (63366336).

The spelling of 13033305 in words is "thirteen million, thirty-three thousand, three hundred five".