13320010034400 has 144 divisors (see below), whose sum is σ = 44528433841584. Its totient is φ = 3456002580480.

The previous prime is 13320010034297. The next prime is 13320010034411. The reversal of 13320010034400 is 443001002331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74911257 + ... + 75088856.

It is an arithmetic number, because the mean of its divisors is an integer number (309225235011).

Almost surely, 2^{13320010034400} is an apocalyptic number.

13320010034400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13320010034400 is an abundant number, since it is smaller than the sum of its proper divisors (31208423807184).

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

13320010034400 is a wasteful number, since it uses less digits than its factorization.

13320010034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150000173 (or 150000160 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13320010034400 its reverse (443001002331), we get a palindrome (13763011036731).

The spelling of 13320010034400 in words is "thirteen trillion, three hundred twenty billion, ten million, thirty-four thousand, four hundred".