221321313000 has 192 divisors, whose sum is σ = 749393536320. Its totient is φ = 58914288000.

The previous prime is 221321312981. The next prime is 221321313001. The reversal of 221321313000 is 313123122.

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

It is not an unprimeable number, because it can be changed into a prime (221321313001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5117467 + ... + 5160533.

It is an arithmetic number, because the mean of its divisors is an integer number (3903091335).

Almost surely, 2^221321313000 is an apocalyptic number.

221321313000 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 221321313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374696768160).

221321313000 is an abundant number, since it is smaller than the sum of its proper divisors (528072223320).

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

221321313000 is a wasteful number, since it uses less digits than its factorization.

221321313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43665 (or 43648 counting only the distinct ones).

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

Adding to 221321313000 its reverse (313123122), we get a palindrome (221634436122).

The spelling of 221321313000 in words is "two hundred twenty-one billion, three hundred twenty-one million, three hundred thirteen thousand".