221201311113 has 6 divisors (see below), whose sum is σ = 319513004954. Its totient is φ = 147467540736.

The previous prime is 221201311087. The next prime is 221201311117. The reversal of 221201311113 is 311113102122.

221201311113 is a `hidden beast` number, since 221 + 20 + 1 + 311 + 113 = 666.

It can be written as a sum of positive squares in only one way, i.e., 183259335744 + 37941975369 = 428088^2 + 194787^2 .

It is not a de Polignac number, because 221201311113 - 2¹⁷ = 221201180041 is a prime.

It is a super-2 number, since 2×221201311113² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221201311117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12288961720 + ... + 12288961737.

Almost surely, 2^221201311113 is an apocalyptic number.

It is an amenable number.

221201311113 is a deficient number, since it is larger than the sum of its proper divisors (98311693841).

221201311113 is a wasteful number, since it uses less digits than its factorization.

221201311113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24577923463 (or 24577923460 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 221201311113 its reverse (311113102122), we get a palindrome (532314413235).

The spelling of 221201311113 in words is "two hundred twenty-one billion, two hundred one million, three hundred eleven thousand, one hundred thirteen".