13009351680000 has 2800 divisors, whose sum is σ = 55487842206720. Its totient is φ = 3009871872000.

The previous prime is 13009351679969. The next prime is 13009351680007. The reversal of 13009351680000 is 8615390031.

It is a happy number.

13009351680000 is a `hidden beast` number, since 130 + 0 + 9 + 3 + 516 + 8 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×13009351680000² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13009351680007) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 102435839937 + ... + 102435840063.

Almost surely, 2^{13009351680000} is an apocalyptic number.

13009351680000 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 13009351680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27743921103360).

13009351680000 is an abundant number, since it is smaller than the sum of its proper divisors (42478490526720).

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

13009351680000 is an equidigital number, since it uses as much as digits as its factorization.

13009351680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13009351680000 in words is "thirteen trillion, nine billion, three hundred fifty-one million, six hundred eighty thousand".