13331034132400 has 60 divisors (see below), whose sum is σ = 32028587595000. Its totient is φ = 5332284106240.

The previous prime is 13331034132389. The next prime is 13331034132457. The reversal of 13331034132400 is 423143013331.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17016516 + ... + 17782684.

It is an arithmetic number, because the mean of its divisors is an integer number (533809793250).

Almost surely, 2^{13331034132400} is an apocalyptic number.

13331034132400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13331034132400 is an abundant number, since it is smaller than the sum of its proper divisors (18697553462600).

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

13331034132400 is a wasteful number, since it uses less digits than its factorization.

13331034132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809686 (or 809675 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 13331034132400 its reverse (423143013331), we get a palindrome (13754177145731).

The spelling of 13331034132400 in words is "thirteen trillion, three hundred thirty-one billion, thirty-four million, one hundred thirty-two thousand, four hundred".