13330324144000 has 256 divisors, whose sum is σ = 33764705170560. Its totient is φ = 5232439296000.

The previous prime is 13330324143947. The next prime is 13330324144079. The reversal of 13330324144000 is 44142303331.

It is a self number, because there is not a number n which added to its sum of digits gives 13330324144000.

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 31 ways as a sum of consecutive naturals, for example, 422592229 + ... + 422623771.

Almost surely, 2^{13330324144000} is an apocalyptic number.

13330324144000 is a gapful number since it is divisible by the number (10) 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 13330324144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16882352585280).

13330324144000 is an abundant number, since it is smaller than the sum of its proper divisors (20434381026560).

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

13330324144000 is an equidigital number, since it uses as much as digits as its factorization.

13330324144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32066 (or 32044 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 13330324144000 its reverse (44142303331), we get a palindrome (13374466447331).

The spelling of 13330324144000 in words is "thirteen trillion, three hundred thirty billion, three hundred twenty-four million, one hundred forty-four thousand".