221011323221313 has 6 divisors (see below), whose sum is σ = 319238577986354. Its totient is φ = 147340882147536.

The previous prime is 221011323221281. The next prime is 221011323221333. The reversal of 221011323221313 is 313122323110122.

221011323221313 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 1 + 1 + 323 + 2 + 21 + 313 = 666.

It can be written as a sum of positive squares in only one way, i.e., 130362777193104 + 90648546028209 = 11417652^2 + 9520953^2 .

It is not a de Polignac number, because 221011323221313 - 2⁵ = 221011323221281 is a prime.

It is a super-3 number, since 3×221011323221313³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221011323221333) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12278406845620 + ... + 12278406845637.

Almost surely, 2^{221011323221313} is an apocalyptic number.

It is an amenable number.

221011323221313 is a deficient number, since it is larger than the sum of its proper divisors (98227254765041).

221011323221313 is a wasteful number, since it uses less digits than its factorization.

221011323221313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24556813691263 (or 24556813691260 counting only the distinct ones).

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

Adding to 221011323221313 its reverse (313122323110122), we get a palindrome (534133646331435).

The spelling of 221011323221313 in words is "two hundred twenty-one trillion, eleven billion, three hundred twenty-three million, two hundred twenty-one thousand, three hundred thirteen".