13331730400 has 36 divisors (see below), whose sum is σ = 32546088792. Its totient is φ = 5332691840.

The previous prime is 13331730397. The next prime is 13331730403. The reversal of 13331730400 is 403713331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13331730397) and next prime (13331730403).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331730403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8331532 + ... + 8333131.

It is an arithmetic number, because the mean of its divisors is an integer number (904058022).

Almost surely, 2^13331730400 is an apocalyptic number.

13331730400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13331730400 is an abundant number, since it is smaller than the sum of its proper divisors (19214358392).

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

13331730400 is a wasteful number, since it uses less digits than its factorization.

13331730400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16664683 (or 16664670 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 25.

The spelling of 13331730400 in words is "thirteen billion, three hundred thirty-one million, seven hundred thirty thousand, four hundred".