13213881836800 has 432 divisors, whose sum is σ = 36049180704768. Its totient is φ = 4778803814400.

The previous prime is 13213881836759. The next prime is 13213881836801. The reversal of 13213881836800 is 863818831231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213881836801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196183929 + ... + 196251271.

Almost surely, 2^{13213881836800} is an apocalyptic number.

13213881836800 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 13213881836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18024590352384).

13213881836800 is an abundant number, since it is smaller than the sum of its proper divisors (22835298867968).

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

13213881836800 is a wasteful number, since it uses less digits than its factorization.

13213881836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67466 (or 67447 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 52.

The spelling of 13213881836800 in words is "thirteen trillion, two hundred thirteen billion, eight hundred eighty-one million, eight hundred thirty-six thousand, eight hundred".