13331020132000 has 192 divisors, whose sum is σ = 33590885328000. Its totient is φ = 5196768460800.

The previous prime is 13331020131953. The next prime is 13331020132063. The reversal of 13331020132000 is 23102013331.

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, 77141691 + ... + 77314309.

It is an arithmetic number, because the mean of its divisors is an integer number (174952527750).

Almost surely, 2^{13331020132000} is an apocalyptic number.

13331020132000 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 13331020132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16795442664000).

13331020132000 is an abundant number, since it is smaller than the sum of its proper divisors (20259865196000).

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

13331020132000 is a wasteful number, since it uses less digits than its factorization.

13331020132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173136 (or 173118 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13331020132000 its reverse (23102013331), we get a palindrome (13354122145331).

The spelling of 13331020132000 in words is "thirteen trillion, three hundred thirty-one billion, twenty million, one hundred thirty-two thousand".