13097914368000 has 2048 divisors, whose sum is σ = 55275385651200. Its totient is φ = 2675441664000.

The previous prime is 13097914367987. The next prime is 13097914368001. The reversal of 13097914368000 is 86341979031.

It is a tau number, because it is divible by the number of its divisors (2048).

It is not an unprimeable number, because it can be changed into a prime (13097914368001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 103133183937 + ... + 103133184063.

It is an arithmetic number, because the mean of its divisors is an integer number (26989934400).

Almost surely, 2^{13097914368000} is an apocalyptic number.

13097914368000 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 13097914368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27637692825600).

13097914368000 is an abundant number, since it is smaller than the sum of its proper divisors (42177471283200).

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

13097914368000 is a wasteful number, since it uses less digits than its factorization.

13097914368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 13097914368000 in words is "thirteen trillion, ninety-seven billion, nine hundred fourteen million, three hundred sixty-eight thousand".