21330133312320 has 168 divisors, whose sum is σ = 83847738409344. Its totient is φ = 4875459038208.

The previous prime is 21330133312303. The next prime is 21330133312321. The reversal of 21330133312320 is 2321333103312.

21330133312320 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 0 + 1 + 3 + 331 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21330133312321) 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 23 ways as a sum of consecutive naturals, for example, 529001004 + ... + 529041323.

It is an arithmetic number, because the mean of its divisors is an integer number (499093681008).

Almost surely, 2^{21330133312320} is an apocalyptic number.

21330133312320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21330133312320 is an abundant number, since it is smaller than the sum of its proper divisors (62517605097024).

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

21330133312320 is a wasteful number, since it uses less digits than its factorization.

21330133312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058042357 (or 1058042344 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 21330133312320 its reverse (2321333103312), we get a palindrome (23651466415632).

The spelling of 21330133312320 in words is "twenty-one trillion, three hundred thirty billion, one hundred thirty-three million, three hundred twelve thousand, three hundred twenty".