13281898291200 has 3024 divisors, whose sum is σ = 62591853083760. Its totient is φ = 2658926592000.

The previous prime is 13281898291183. The next prime is 13281898291201. The reversal of 13281898291200 is 219289818231.

13281898291200 is a `hidden beast` number, since 1 + 3 + 281 + 89 + 82 + 9 + 1 + 200 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13281898291201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 28811058970 + ... + 28811059430.

It is an arithmetic number, because the mean of its divisors is an integer number (20698364115).

Almost surely, 2^{13281898291200} is an apocalyptic number.

13281898291200 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 13281898291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31295926541880).

13281898291200 is an abundant number, since it is smaller than the sum of its proper divisors (49309954792560).

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

13281898291200 is a wasteful number, since it uses less digits than its factorization.

13281898291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 13281898291200 in words is "thirteen trillion, two hundred eighty-one billion, eight hundred ninety-eight million, two hundred ninety-one thousand, two hundred".