13097680128 has 288 divisors, whose sum is σ = 42319630080. Its totient is φ = 3971358720.

The previous prime is 13097680111. The next prime is 13097680171. The reversal of 13097680128 is 82108679031.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6378750 + ... + 6380802.

It is an arithmetic number, because the mean of its divisors is an integer number (146943160).

Almost surely, 2^13097680128 is an apocalyptic number.

13097680128 is a gapful number since it is divisible by the number (18) 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 13097680128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21159815040).

13097680128 is an abundant number, since it is smaller than the sum of its proper divisors (29221949952).

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

13097680128 is a wasteful number, since it uses less digits than its factorization.

13097680128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 13097680128 in words is "thirteen billion, ninety-seven million, six hundred eighty thousand, one hundred twenty-eight".