13314591108000 has 2304 divisors, whose sum is σ = 60909534766080. Its totient is φ = 2781444096000.

The previous prime is 13314591107933. The next prime is 13314591108023. The reversal of 13314591108000 is 80119541331.

It is a happy number.

13314591108000 is a `hidden beast` number, since 13 + 3 + 1 + 459 + 110 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9641267310 + ... + 9641268690.

It is an arithmetic number, because the mean of its divisors is an integer number (26436430020).

Almost surely, 2^{13314591108000} is an apocalyptic number.

13314591108000 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 13314591108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30454767383040).

13314591108000 is an abundant number, since it is smaller than the sum of its proper divisors (47594943658080).

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

13314591108000 is a wasteful number, since it uses less digits than its factorization.

13314591108000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 13314591108000 in words is "thirteen trillion, three hundred fourteen billion, five hundred ninety-one million, one hundred eight thousand".