13078020096 has 180 divisors, whose sum is σ = 39012128064. Its totient is φ = 4217241600.

The previous prime is 13078020079. The next prime is 13078020139. The reversal of 13078020096 is 69002087031.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13078020096.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4569706 + ... + 4572566.

Almost surely, 2^13078020096 is an apocalyptic number.

13078020096 is a gapful number since it is divisible by the number (16) 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 13078020096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19506064032).

13078020096 is an abundant number, since it is smaller than the sum of its proper divisors (25934107968).

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

13078020096 is an equidigital number, since it uses as much as digits as its factorization.

13078020096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 13078020096 in words is "thirteen billion, seventy-eight million, twenty thousand, ninety-six".