13130214433920 has 768 divisors, whose sum is σ = 47941964928000. Its totient is φ = 3306917560320.

The previous prime is 13130214433909. The next prime is 13130214433937. The reversal of 13130214433920 is 2933441203131.

13130214433920 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 214 + 433 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×13130214433920² (a number of 27 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 1304018646 + ... + 1304028714.

It is an arithmetic number, because the mean of its divisors is an integer number (62424433500).

Almost surely, 2^{13130214433920} is an apocalyptic number.

13130214433920 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 13130214433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23970982464000).

13130214433920 is an abundant number, since it is smaller than the sum of its proper divisors (34811750494080).

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

13130214433920 is a wasteful number, since it uses less digits than its factorization.

13130214433920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10301 (or 10286 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 13130214433920 in words is "thirteen trillion, one hundred thirty billion, two hundred fourteen million, four hundred thirty-three thousand, nine hundred twenty".