21321310020000 has 240 divisors, whose sum is σ = 70896232693440. Its totient is φ = 5607795456000.

The previous prime is 21321310019951. The next prime is 21321310020011. The reversal of 21321310020000 is 2001312312.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1946061 + ... + 6813939.

It is an arithmetic number, because the mean of its divisors is an integer number (295400969556).

Almost surely, 2^{21321310020000} is an apocalyptic number.

21321310020000 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 21321310020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35448116346720).

21321310020000 is an abundant number, since it is smaller than the sum of its proper divisors (49574922673440).

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

21321310020000 is an equidigital number, since it uses as much as digits as its factorization.

21321310020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4867985 (or 4867962 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21321310020000 its reverse (2001312312), we get a palindrome (21323311332312).

The spelling of 21321310020000 in words is "twenty-one trillion, three hundred twenty-one billion, three hundred ten million, twenty thousand".