13305204 has 36 divisors (see below), whose sum is σ = 36691200. Its totient is φ = 4031760.

The previous prime is 13305191. The next prime is 13305209. The reversal of 13305204 is 40250331.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×13305204³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13305209) 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 11 ways as a sum of consecutive naturals, for example, 16404 + ... + 17195.

It is an arithmetic number, because the mean of its divisors is an integer number (1019200).

Almost surely, 2^13305204 is an apocalyptic number.

It is an amenable number.

13305204 is an abundant number, since it is smaller than the sum of its proper divisors (23385996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13305204 is a wasteful number, since it uses less digits than its factorization.

13305204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33620 (or 33615 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 13305204 is about 3647.6299154382. The cubic root of 13305204 is about 236.9593478317.

Adding to 13305204 its reverse (40250331), we get a palindrome (53555535).

The spelling of 13305204 in words is "thirteen million, three hundred five thousand, two hundred four".