13331025202000 has 240 divisors, whose sum is σ = 35462692648656. Its totient is φ = 4843339776000.

The previous prime is 13331025201979. The next prime is 13331025202057. The reversal of 13331025202000 is 20252013331.

13331025202000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1611823219776 + 11719201982224 = 1269576^2 + 3423332^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279002112 + ... + 279049888.

Almost surely, 2^{13331025202000} is an apocalyptic number.

13331025202000 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 13331025202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17731346324328).

13331025202000 is an abundant number, since it is smaller than the sum of its proper divisors (22131667446656).

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

13331025202000 is a wasteful number, since it uses less digits than its factorization.

13331025202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48975 (or 48948 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 13331025202000 its reverse (20252013331), we get a palindrome (13351277215331).

The spelling of 13331025202000 in words is "thirteen trillion, three hundred thirty-one billion, twenty-five million, two hundred two thousand".