220113113221 has 2 divisors, whose sum is σ = 220113113222. Its totient is φ = 220113113220.

The previous prime is 220113113219. The next prime is 220113113293. The reversal of 220113113221 is 122311311022.

220113113221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 143367492321 + 76745620900 = 378639^2 + 277030^2 .

It is a cyclic number.

It is not a de Polignac number, because 220113113221 - 2¹ = 220113113219 is a prime.

It is a super-2 number, since 2×220113113221² (a number of 23 digits) contains 22 as substring.

Together with 220113113219, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220113113321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110056556610 + 110056556611.

It is an arithmetic number, because the mean of its divisors is an integer number (110056556611).

Almost surely, 2^220113113221 is an apocalyptic number.

It is an amenable number.

220113113221 is a deficient number, since it is larger than the sum of its proper divisors (1).

220113113221 is an equidigital number, since it uses as much as digits as its factorization.

220113113221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 220113113221 its reverse (122311311022), we get a palindrome (342424424243).

The spelling of 220113113221 in words is "two hundred twenty billion, one hundred thirteen million, one hundred thirteen thousand, two hundred twenty-one".