13311953188800 has 1344 divisors, whose sum is σ = 55129469583360. Its totient is φ = 2743621632000.

The previous prime is 13311953188799. The next prime is 13311953188801. The reversal of 13311953188800 is 888135911331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13311953188799) and next prime (13311953188801).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311953188801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1207208887 + ... + 1207219913.

Almost surely, 2^{13311953188800} is an apocalyptic number.

13311953188800 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 13311953188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27564734791680).

13311953188800 is an abundant number, since it is smaller than the sum of its proper divisors (41817516394560).

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

13311953188800 is a wasteful number, since it uses less digits than its factorization.

13311953188800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11170 (or 11155 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 51.

The spelling of 13311953188800 in words is "thirteen trillion, three hundred eleven billion, nine hundred fifty-three million, one hundred eighty-eight thousand, eight hundred".