13387233719376 has 640 divisors, whose sum is σ = 43797657484800. Its totient is φ = 3877945344000.

The previous prime is 13387233719357. The next prime is 13387233719423. The reversal of 13387233719376 is 67391733278331.

It is a happy number.

13387233719376 is a `hidden beast` number, since 1 + 3 + 387 + 2 + 33 + 71 + 93 + 76 = 666.

13387233719376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9836320936 + ... + 9836322296.

It is an arithmetic number, because the mean of its divisors is an integer number (68433839820).

Almost surely, 2^{13387233719376} is an apocalyptic number.

13387233719376 is a gapful number since it is divisible by the number (16) 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 13387233719376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21898828742400).

13387233719376 is an abundant number, since it is smaller than the sum of its proper divisors (30410423765424).

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

13387233719376 is a wasteful number, since it uses less digits than its factorization.

13387233719376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2064 counting only the distinct ones).

The product of its digits is 72013536, while the sum is 63.

The spelling of 13387233719376 in words is "thirteen trillion, three hundred eighty-seven billion, two hundred thirty-three million, seven hundred nineteen thousand, three hundred seventy-six".