13073915224128 has 224 divisors, whose sum is σ = 39435236628480. Its totient is φ = 3787323402240.

The previous prime is 13073915224109. The next prime is 13073915224177. The reversal of 13073915224128 is 82142251937031.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2736858 + ... + 5799846.

It is an arithmetic number, because the mean of its divisors is an integer number (176050163520).

Almost surely, 2^{13073915224128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13073915224128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19717618314240).

13073915224128 is an abundant number, since it is smaller than the sum of its proper divisors (26361321404352).

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

13073915224128 is a wasteful number, since it uses less digits than its factorization.

13073915224128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063105 (or 3063095 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 13073915224128 in words is "thirteen trillion, seventy-three billion, nine hundred fifteen million, two hundred twenty-four thousand, one hundred twenty-eight".