221011323221311 has 32 divisors (see below), whose sum is σ = 258481177066496. Its totient is φ = 185058691200000.

The previous prime is 221011323221281. The next prime is 221011323221333. The reversal of 221011323221311 is 113122323110122.

221011323221311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 221011323221311 - 2¹⁹ = 221011322697023 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221011323221111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299514031 + ... + 300251023.

It is an arithmetic number, because the mean of its divisors is an integer number (8077536783328).

Almost surely, 2^{221011323221311} is an apocalyptic number.

221011323221311 is a deficient number, since it is larger than the sum of its proper divisors (37469853845185).

221011323221311 is a wasteful number, since it uses less digits than its factorization.

221011323221311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741863.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 221011323221311 its reverse (113122323110122), we get a palindrome (334133646331433).

The spelling of 221011323221311 in words is "two hundred twenty-one trillion, eleven billion, three hundred twenty-three million, two hundred twenty-one thousand, three hundred eleven".