13281827818280 has 256 divisors, whose sum is σ = 34985729433600. Its totient is φ = 4443389798400.

The previous prime is 13281827818267. The next prime is 13281827818289. The reversal of 13281827818280 is 8281872818231.

It is not an unprimeable number, because it can be changed into a prime (13281827818289) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11189407847 + ... + 11189409033.

It is an arithmetic number, because the mean of its divisors is an integer number (136663005600).

Almost surely, 2^{13281827818280} is an apocalyptic number.

13281827818280 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 13281827818280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17492864716800).

13281827818280 is an abundant number, since it is smaller than the sum of its proper divisors (21703901615320).

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

13281827818280 is a wasteful number, since it uses less digits than its factorization.

13281827818280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 59.

The spelling of 13281827818280 in words is "thirteen trillion, two hundred eighty-one billion, eight hundred twenty-seven million, eight hundred eighteen thousand, two hundred eighty".