13097108160000 has 1600 divisors, whose sum is σ = 50585479464960. Its totient is φ = 3340984320000.

The previous prime is 13097108159987. The next prime is 13097108160007. The reversal of 13097108160000 is 6180179031.

13097108160000 is a `hidden beast` number, since 1 + 30 + 9 + 7 + 10 + 8 + 1 + 600 + 0 + 0 = 666.

13097108160000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13097108160007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28658879772 + ... + 28658880228.

Almost surely, 2^{13097108160000} is an apocalyptic number.

13097108160000 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 13097108160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25292739732480).

13097108160000 is an abundant number, since it is smaller than the sum of its proper divisors (37488371304960).

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

13097108160000 is an equidigital number, since it uses as much as digits as its factorization.

13097108160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 13097108160000 in words is "thirteen trillion, ninety-seven billion, one hundred eight million, one hundred sixty thousand".