13109124397824 has 648 divisors, whose sum is σ = 47489754111072. Its totient is φ = 3457218723840.

The previous prime is 13109124397819. The next prime is 13109124397891. The reversal of 13109124397824 is 42879342190131.

13109124397824 is a `hidden beast` number, since 1 + 3 + 109 + 12 + 439 + 78 + 24 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 503390244 + ... + 503416284.

Almost surely, 2^{13109124397824} is an apocalyptic number.

13109124397824 is a gapful number since it is divisible by the number (14) 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 13109124397824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23744877055536).

13109124397824 is an abundant number, since it is smaller than the sum of its proper divisors (34380629713248).

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

13109124397824 is an frugal number, since it uses more digits than its factorization.

13109124397824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26111 (or 26066 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 13109124397824 in words is "thirteen trillion, one hundred nine billion, one hundred twenty-four million, three hundred ninety-seven thousand, eight hundred twenty-four".