13331304 has 80 divisors (see below), whose sum is σ = 42688800. Its totient is φ = 3807648.

The previous prime is 13331299. The next prime is 13331309. The reversal of 13331304 is 40313331.

It is an interprime number because it is at equal distance from previous prime (13331299) and next prime (13331309).

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

It is not an unprimeable number, because it can be changed into a prime (13331309) 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 19 ways as a sum of consecutive naturals, for example, 3067 + ... + 6005.

It is an arithmetic number, because the mean of its divisors is an integer number (533610).

Almost surely, 2^13331304 is an apocalyptic number.

13331304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13331304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21344400).

13331304 is an abundant number, since it is smaller than the sum of its proper divisors (29357496).

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

13331304 is a wasteful number, since it uses less digits than its factorization.

13331304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 13331304 is about 3651.2058282162. The cubic root of 13331304 is about 237.1141894854.

Adding to 13331304 its reverse (40313331), we get a palindrome (53644635).

The spelling of 13331304 in words is "thirteen million, three hundred thirty-one thousand, three hundred four".