13093340978304 has 128 divisors (see below), whose sum is σ = 38649118248000. Its totient is φ = 4363817103360.

The previous prime is 13093340978273. The next prime is 13093340978351. The reversal of 13093340978304 is 40387904339031.

13093340978304 is a `hidden beast` number, since 130 + 9 + 3 + 3 + 409 + 78 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

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 15 ways as a sum of consecutive naturals, for example, 23987784 + ... + 24527544.

Almost surely, 2^{13093340978304} 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 13093340978304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19324559124000).

13093340978304 is an abundant number, since it is smaller than the sum of its proper divisors (25555777269696).

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

13093340978304 is an equidigital number, since it uses as much as digits as its factorization.

13093340978304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546803 (or 546785 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 13093340978304 in words is "thirteen trillion, ninety-three billion, three hundred forty million, nine hundred seventy-eight thousand, three hundred four".