13302001310000 has 200 divisors, whose sum is σ = 34895653254000. Its totient is φ = 4881368448000.

The previous prime is 13302001309999. The next prime is 13302001310009. The reversal of 13302001310000 is 1310020331.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×13302001310000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13302001310009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20876126 + ... + 21503874.

It is an arithmetic number, because the mean of its divisors is an integer number (174478266270).

Almost surely, 2^{13302001310000} is an apocalyptic number.

13302001310000 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 13302001310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17447826627000).

13302001310000 is an abundant number, since it is smaller than the sum of its proper divisors (21593651944000).

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

13302001310000 is a wasteful number, since it uses less digits than its factorization.

13302001310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627953 (or 627932 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 13302001310000 its reverse (1310020331), we get a palindrome (13303311330331).

The spelling of 13302001310000 in words is "thirteen trillion, three hundred two billion, one million, three hundred ten thousand".