13303120332000 has 768 divisors, whose sum is σ = 46790966476800. Its totient is φ = 3294224640000.

The previous prime is 13303120331983. The next prime is 13303120332041. The reversal of 13303120332000 is 23302130331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2897649705 + ... + 2897654295.

It is an arithmetic number, because the mean of its divisors is an integer number (60925737600).

Almost surely, 2^{13303120332000} is an apocalyptic number.

13303120332000 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 13303120332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23395483238400).

13303120332000 is an abundant number, since it is smaller than the sum of its proper divisors (33487846144800).

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

13303120332000 is a wasteful number, since it uses less digits than its factorization.

13303120332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4888 (or 4870 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 13303120332000 its reverse (23302130331), we get a palindrome (13326422462331).

The spelling of 13303120332000 in words is "thirteen trillion, three hundred three billion, one hundred twenty million, three hundred thirty-two thousand".