221120113 has 2 divisors, whose sum is σ = 221120114. Its totient is φ = 221120112.

The previous prime is 221120111. The next prime is 221120129. The reversal of 221120113 is 311021122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 158583649 + 62536464 = 12593^2 + 7908^2 .

It is a cyclic number.

It is not a de Polignac number, because 221120113 - 2¹ = 221120111 is a prime.

Together with 221120111, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 221120093 and 221120102.

It is not a weakly prime, because it can be changed into another prime (221120111) 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 as a sum of consecutive naturals, namely, 110560056 + 110560057.

It is an arithmetic number, because the mean of its divisors is an integer number (110560057).

Almost surely, 2^221120113 is an apocalyptic number.

It is an amenable number.

221120113 is a deficient number, since it is larger than the sum of its proper divisors (1).

221120113 is an equidigital number, since it uses as much as digits as its factorization.

221120113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 221120113 is about 14870.1080359223. The cubic root of 221120113 is about 604.7038716527.

Adding to 221120113 its reverse (311021122), we get a palindrome (532141235).

The spelling of 221120113 in words is "two hundred twenty-one million, one hundred twenty thousand, one hundred thirteen".