221233211321 has 8 divisors (see below), whose sum is σ = 234253459944. Its totient is φ = 208213688320.

The previous prime is 221233211299. The next prime is 221233211347. The reversal of 221233211321 is 123112332122.

It can be written as a sum of positive squares in 4 ways, for example, as 89853060025 + 131380151296 = 299755^2 + 362464^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 221233211321 - 2¹⁴ = 221233194937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221233210321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 524921 + ... + 847353.

It is an arithmetic number, because the mean of its divisors is an integer number (29281682493).

Almost surely, 2^221233211321 is an apocalyptic number.

It is an amenable number.

221233211321 is a deficient number, since it is larger than the sum of its proper divisors (13020248623).

221233211321 is a wasteful number, since it uses less digits than its factorization.

221233211321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362811.

The product of its digits is 864, while the sum is 23.

Adding to 221233211321 its reverse (123112332122), we get a palindrome (344345543443).

The spelling of 221233211321 in words is "two hundred twenty-one billion, two hundred thirty-three million, two hundred eleven thousand, three hundred twenty-one".