221321011313223 has 24 divisors (see below), whose sum is σ = 322629395802480. Its totient is φ = 146189733177600.

The previous prime is 221321011313209. The next prime is 221321011313231. The reversal of 221321011313223 is 322313110123122.

221321011313223 is a `hidden beast` number, since 2 + 2 + 1 + 321 + 0 + 1 + 1 + 313 + 2 + 23 = 666.

It is not a de Polignac number, because 221321011313223 - 2²⁶ = 221320944204359 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221321011313243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35732128 + ... + 41465973.

It is an arithmetic number, because the mean of its divisors is an integer number (13442891491770).

Almost surely, 2^{221321011313223} is an apocalyptic number.

221321011313223 is a deficient number, since it is larger than the sum of its proper divisors (101308384489257).

221321011313223 is a wasteful number, since it uses less digits than its factorization.

221321011313223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77201039 (or 77201036 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 221321011313223 its reverse (322313110123122), we get a palindrome (543634121436345).

The spelling of 221321011313223 in words is "two hundred twenty-one trillion, three hundred twenty-one billion, eleven million, three hundred thirteen thousand, two hundred twenty-three".