13093340978352 has 160 divisors (see below), whose sum is σ = 35150790205440. Its totient is φ = 4196166543360.

The previous prime is 13093340978351. The next prime is 13093340978357. The reversal of 13093340978352 is 25387904339031.

It is a junction number, because it is equal to n+sod(n) for n = 13093340978292 and 13093340978301.

It is not an unprimeable number, because it can be changed into a prime (13093340978351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262835527 + ... + 262885337.

It is an arithmetic number, because the mean of its divisors is an integer number (219692438784).

Almost surely, 2^{13093340978352} is an apocalyptic number.

13093340978352 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 13093340978352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17575395102720).

13093340978352 is an abundant number, since it is smaller than the sum of its proper divisors (22057449227088).

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

13093340978352 is a wasteful number, since it uses less digits than its factorization.

13093340978352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51611 (or 51605 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 57.

The spelling of 13093340978352 in words is "thirteen trillion, ninety-three billion, three hundred forty million, nine hundred seventy-eight thousand, three hundred fifty-two".