13114231519392 has 672 divisors, whose sum is σ = 41807747358720. Its totient is φ = 4035663751680.

The previous prime is 13114231519349. The next prime is 13114231519421. The reversal of 13114231519392 is 29391513241131.

13114231519392 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 42 + 3 + 1 + 519 + 3 + 92 = 666.

13114231519392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8100203959 + ... + 8100205577.

It is an arithmetic number, because the mean of its divisors is an integer number (62213909760).

Almost surely, 2^{13114231519392} is an apocalyptic number.

13114231519392 is a gapful number since it is divisible by the number (12) 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 13114231519392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20903873679360).

13114231519392 is an abundant number, since it is smaller than the sum of its proper divisors (28693515839328).

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

13114231519392 is a wasteful number, since it uses less digits than its factorization.

13114231519392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 2165 counting only the distinct ones).

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

The spelling of 13114231519392 in words is "thirteen trillion, one hundred fourteen billion, two hundred thirty-one million, five hundred nineteen thousand, three hundred ninety-two".