13121970924816 has 960 divisors, whose sum is σ = 43183925051904. Its totient is φ = 3687977779200.

The previous prime is 13121970924809. The next prime is 13121970924859. The reversal of 13121970924816 is 61842907912131.

13121970924816 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 9 + 70 + 92 + 481 + 6 = 666.

It is a super-2 number, since 2×13121970924816² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 191 ways as a sum of consecutive naturals, for example, 14894404696 + ... + 14894405576.

Almost surely, 2^{13121970924816} is an apocalyptic number.

13121970924816 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 13121970924816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21591962525952).

13121970924816 is an abundant number, since it is smaller than the sum of its proper divisors (30061954127088).

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

13121970924816 is a wasteful number, since it uses less digits than its factorization.

13121970924816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 13121970924816 in words is "thirteen trillion, one hundred twenty-one billion, nine hundred seventy million, nine hundred twenty-four thousand, eight hundred sixteen".