13121332389792 has 1536 divisors, whose sum is σ = 46162632499200. Its totient is φ = 3613040640000.

The previous prime is 13121332389757. The next prime is 13121332389829. The reversal of 13121332389792 is 29798323312131.

It is a happy number.

13121332389792 is a `hidden beast` number, since 1 + 31 + 213 + 323 + 8 + 9 + 79 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2939328) is a multiple of the sum of its prime divisors (324).

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 255 ways as a sum of consecutive naturals, for example, 86896240917 + ... + 86896241067.

It is an arithmetic number, because the mean of its divisors is an integer number (30053797200).

Almost surely, 2^{13121332389792} is an apocalyptic number.

13121332389792 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 13121332389792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23081316249600).

13121332389792 is an abundant number, since it is smaller than the sum of its proper divisors (33041300109408).

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

13121332389792 is a wasteful number, since it uses less digits than its factorization.

13121332389792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 324 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The spelling of 13121332389792 in words is "thirteen trillion, one hundred twenty-one billion, three hundred thirty-two million, three hundred eighty-nine thousand, seven hundred ninety-two".