221313210000 has 200 divisors, whose sum is σ = 739066922880. Its totient is φ = 56981568000.

The previous prime is 221313209941. The next prime is 221313210049. The reversal of 221313210000 is 12313122.

221313210000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

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, 742809 + ... + 997191.

Almost surely, 2^221313210000 is an apocalyptic number.

221313210000 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 221313210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369533461440).

221313210000 is an abundant number, since it is smaller than the sum of its proper divisors (517753712880).

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

221313210000 is a wasteful number, since it uses less digits than its factorization.

221313210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254443 (or 254422 counting only the distinct ones).

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

Adding to 221313210000 its reverse (12313122), we get a palindrome (221325523122).

The spelling of 221313210000 in words is "two hundred twenty-one billion, three hundred thirteen million, two hundred ten thousand".