13099110912000 has 1664 divisors, whose sum is σ = 51778338393600. Its totient is φ = 3255828480000.

The previous prime is 13099110911911. The next prime is 13099110912001. The reversal of 13099110912000 is 21901199031.

13099110912000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (13099110912001) 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, 32666111800 + ... + 32666112200.

It is an arithmetic number, because the mean of its divisors is an integer number (31116789900).

Almost surely, 2^{13099110912000} is an apocalyptic number.

13099110912000 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 13099110912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25889169196800).

13099110912000 is an abundant number, since it is smaller than the sum of its proper divisors (38679227481600).

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

13099110912000 is a wasteful number, since it uses less digits than its factorization.

13099110912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 36.

The spelling of 13099110912000 in words is "thirteen trillion, ninety-nine billion, one hundred ten million, nine hundred twelve thousand".