21300231330000 has 900 divisors, whose sum is σ = 86688833568480. Its totient is φ = 4779782784000.

The previous prime is 21300231329947. The next prime is 21300231330029. The reversal of 21300231330000 is 3313200312.

21300231330000 is a `hidden beast` number, since 2 + 1 + 300 + 2 + 31 + 330 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 179 ways as a sum of consecutive naturals, for example, 28137689622 + ... + 28137690378.

Almost surely, 2^{21300231330000} is an apocalyptic number.

21300231330000 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 21300231330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43344416784240).

21300231330000 is an abundant number, since it is smaller than the sum of its proper divisors (65388602238480).

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

21300231330000 is an frugal number, since it uses more digits than its factorization.

21300231330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 21300231330000 its reverse (3313200312), we get a palindrome (21303544530312).

The spelling of 21300231330000 in words is "twenty-one trillion, three hundred billion, two hundred thirty-one million, three hundred thirty thousand".