13321331100198 has 48 divisors (see below), whose sum is σ = 31535001562896. Its totient is φ = 4030585081920.

The previous prime is 13321331100151. The next prime is 13321331100241. The reversal of 13321331100198 is 89100113312331.

It is a happy number.

13321331100198 is a `hidden beast` number, since 1 + 3 + 32 + 1 + 331 + 100 + 198 = 666.

It is a super-3 number, since 3×13321331100198³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51386365 + ... + 51644952.

It is an arithmetic number, because the mean of its divisors is an integer number (656979199227).

Almost surely, 2^{13321331100198} is an apocalyptic number.

13321331100198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13321331100198 is an abundant number, since it is smaller than the sum of its proper divisors (18213670462698).

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

13321331100198 is a wasteful number, since it uses less digits than its factorization.

13321331100198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103031989 (or 103031986 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 13321331100198 in words is "thirteen trillion, three hundred twenty-one billion, three hundred thirty-one million, one hundred thousand, one hundred ninety-eight".