13003305 has 32 divisors (see below), whose sum is σ = 24192000. Its totient is φ = 5840832.

The previous prime is 13003301. The next prime is 13003313. The reversal of 13003305 is 50330031.

It is not a de Polignac number, because 13003305 - 2² = 13003301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (13003301) 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 31 ways as a sum of consecutive naturals, for example, 5146 + ... + 7244.

It is an arithmetic number, because the mean of its divisors is an integer number (756000).

Almost surely, 2^13003305 is an apocalyptic number.

13003305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13003305 is a deficient number, since it is larger than the sum of its proper divisors (11188695).

13003305 is a wasteful number, since it uses less digits than its factorization.

13003305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173.

The product of its (nonzero) digits is 135, while the sum is 15.

The square root of 13003305 is about 3606.0095673750. The cubic root of 13003305 is about 235.1533931379.

Adding to 13003305 its reverse (50330031), we get a palindrome (63333336).

The spelling of 13003305 in words is "thirteen million, three thousand, three hundred five".