13381319952000 has 4608 divisors, whose sum is σ = 66975471613440. Its totient is φ = 2484338688000.

The previous prime is 13381319951983. The next prime is 13381319952001. The reversal of 13381319952000 is 25991318331.

13381319952000 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 1 + 31 + 99 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13381319952001) 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 575 ways as a sum of consecutive naturals, for example, 69333263904 + ... + 69333264096.

It is an arithmetic number, because the mean of its divisors is an integer number (14534607555).

Almost surely, 2^{13381319952000} is an apocalyptic number.

13381319952000 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 13381319952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33487735806720).

13381319952000 is an abundant number, since it is smaller than the sum of its proper divisors (53594151661440).

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

13381319952000 is a wasteful number, since it uses less digits than its factorization.

13381319952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 13381319952000 in words is "thirteen trillion, three hundred eighty-one billion, three hundred nineteen million, nine hundred fifty-two thousand".