13333205338668 has 36 divisors (see below), whose sum is σ = 33707121230328. Its totient is φ = 4443908451840.

The previous prime is 13333205338667. The next prime is 13333205338669. The reversal of 13333205338668 is 86683350233331.

13333205338668 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 3 + 20 + 533 + 86 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13333205338667) and next prime (13333205338669).

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (13333205338667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20226421 + ... + 20875212.

Almost surely, 2^{13333205338668} is an apocalyptic number.

13333205338668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13333205338668 is an abundant number, since it is smaller than the sum of its proper divisors (20373915891660).

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

13333205338668 is a wasteful number, since it uses less digits than its factorization.

13333205338668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41110654 (or 41110649 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 13333205338668 in words is "thirteen trillion, three hundred thirty-three billion, two hundred five million, three hundred thirty-eight thousand, six hundred sixty-eight".