13005191900352 has 224 divisors, whose sum is σ = 37629420694272. Its totient is φ = 3947925897216.

The previous prime is 13005191900339. The next prime is 13005191900413. The reversal of 13005191900352 is 25300919150031.

It is a self number, because there is not a number n which added to its sum of digits gives 13005191900352.

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, 14584668 + ... + 15450660.

Almost surely, 2^{13005191900352} is an apocalyptic number.

13005191900352 is a gapful number since it is divisible by the number (12) 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 13005191900352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18814710347136).

13005191900352 is an abundant number, since it is smaller than the sum of its proper divisors (24624228793920).

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

13005191900352 is a wasteful number, since it uses less digits than its factorization.

13005191900352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866175 (or 866165 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 39.

The spelling of 13005191900352 in words is "thirteen trillion, five billion, one hundred ninety-one million, nine hundred thousand, three hundred fifty-two".