21321330000 has 300 divisors, whose sum is σ = 70341283584. Its totient is φ = 5563200000.

The previous prime is 21321329903. The next prime is 21321330007. The reversal of 21321330000 is 3312312.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×21321330000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21321330007) 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 59 ways as a sum of consecutive naturals, for example, 111629905 + ... + 111630095.

Almost surely, 2^21321330000 is an apocalyptic number.

21321330000 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 21321330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35170641792).

21321330000 is an abundant number, since it is smaller than the sum of its proper divisors (49019953584).

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

21321330000 is an equidigital number, since it uses as much as digits as its factorization.

21321330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 21321330000 its reverse (3312312), we get a palindrome (21324642312).

The spelling of 21321330000 in words is "twenty-one billion, three hundred twenty-one million, three hundred thirty thousand".