21333331000000 has 196 divisors, whose sum is σ = 52938974716200. Its totient is φ = 8529625600000.

The previous prime is 21333330999989. The next prime is 21333331000019. The reversal of 21333331000000 is 13333312.

It is a super-2 number, since 2×21333331000000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4258997496 + ... + 4259002504.

Almost surely, 2^{21333331000000} is an apocalyptic number.

21333331000000 is a gapful number since it is divisible by the number (20) 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 21333331000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26469487358100).

21333331000000 is an abundant number, since it is smaller than the sum of its proper divisors (31605643716200).

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

21333331000000 is an frugal number, since it uses more digits than its factorization.

21333331000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9310 (or 9275 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 21333331000000 its reverse (13333312), we get a palindrome (21333344333312).

The spelling of 21333331000000 in words is "twenty-one trillion, three hundred thirty-three billion, three hundred thirty-one million", and thus it is an aban number.