223321000133220 has 384 divisors, whose sum is σ = 694889342042112. Its totient is φ = 53138026752000.

The previous prime is 223321000133159. The next prime is 223321000133239. The reversal of 223321000133220 is 22331000123322.

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 127 ways as a sum of consecutive naturals, for example, 4001638557 + ... + 4001694363.

It is an arithmetic number, because the mean of its divisors is an integer number (1809607661568).

Almost surely, 2^{223321000133220} is an apocalyptic number.

223321000133220 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 223321000133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347444671021056).

223321000133220 is an abundant number, since it is smaller than the sum of its proper divisors (471568341908892).

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

223321000133220 is a wasteful number, since it uses less digits than its factorization.

223321000133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56451 (or 56449 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 223321000133220 its reverse (22331000123322), we get a palindrome (245652000256542).

The spelling of 223321000133220 in words is "two hundred twenty-three trillion, three hundred twenty-one billion, one hundred thirty-three thousand, two hundred twenty".