221311332222320 has 160 divisors (see below), whose sum is σ = 534868871201280. Its totient is φ = 85086866672640.

The previous prime is 221311332222313. The next prime is 221311332222341. The reversal of 221311332222320 is 23222233113122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3456931271 + ... + 3456995289.

It is an arithmetic number, because the mean of its divisors is an integer number (3342930445008).

Almost surely, 2^{221311332222320} is an apocalyptic number.

221311332222320 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 221311332222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267434435600640).

221311332222320 is an abundant number, since it is smaller than the sum of its proper divisors (313557538978960).

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

221311332222320 is a wasteful number, since it uses less digits than its factorization.

221311332222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78223 (or 78217 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 221311332222320 its reverse (23222233113122), we get a palindrome (244533565335442).

The spelling of 221311332222320 in words is "two hundred twenty-one trillion, three hundred eleven billion, three hundred thirty-two million, two hundred twenty-two thousand, three hundred twenty".