13383216000 has 1536 divisors, whose sum is σ = 64340490240. Its totient is φ = 2580480000.

The previous prime is 13383215917. The next prime is 13383216001. The reversal of 13383216000 is 61238331.

It is a happy number.

13383216000 is a `hidden beast` number, since 1 + 3 + 38 + 3 + 21 + 600 + 0 = 666.

13383216000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13383216000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13383216001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 188495965 + ... + 188496035.

It is an arithmetic number, because the mean of its divisors is an integer number (41888340).

Almost surely, 2^13383216000 is an apocalyptic number.

13383216000 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 13383216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32170245120).

13383216000 is an abundant number, since it is smaller than the sum of its proper divisors (50957274240).

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

13383216000 is a wasteful number, since it uses less digits than its factorization.

13383216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 13383216000 in words is "thirteen billion, three hundred eighty-three million, two hundred sixteen thousand".