21303210213000 has 384 divisors, whose sum is σ = 76968099936000. Its totient is φ = 5301326976000.

The previous prime is 21303210212969. The next prime is 21303210213017. The reversal of 21303210213000 is 31201230312.

21303210213000 is a `hidden beast` number, since 2 + 130 + 3 + 210 + 21 + 300 + 0 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 7231951 + ... + 9742049.

It is an arithmetic number, because the mean of its divisors is an integer number (200437760250).

Almost surely, 2^{21303210213000} is an apocalyptic number.

21303210213000 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 21303210213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38484049968000).

21303210213000 is an abundant number, since it is smaller than the sum of its proper divisors (55664889723000).

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

21303210213000 is a wasteful number, since it uses less digits than its factorization.

21303210213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510190 (or 2510173 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21303210213000 its reverse (31201230312), we get a palindrome (21334411443312).

The spelling of 21303210213000 in words is "twenty-one trillion, three hundred three billion, two hundred ten million, two hundred thirteen thousand".