221344234214113 has 2 divisors, whose sum is σ = 221344234214114. Its totient is φ = 221344234214112.

The previous prime is 221344234214111. The next prime is 221344234214141. The reversal of 221344234214113 is 311412432443122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 138377767774464 + 82966466439649 = 11763408^2 + 9108593^2 .

It is a cyclic number.

It is not a de Polignac number, because 221344234214113 - 2¹ = 221344234214111 is a prime.

It is a super-2 number, since 2×221344234214113² (a number of 29 digits) contains 22 as substring.

Together with 221344234214111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (221344234214111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110672117107056 + 110672117107057.

It is an arithmetic number, because the mean of its divisors is an integer number (110672117107057).

Almost surely, 2^{221344234214113} is an apocalyptic number.

It is an amenable number.

221344234214113 is a deficient number, since it is larger than the sum of its proper divisors (1).

221344234214113 is an equidigital number, since it uses as much as digits as its factorization.

221344234214113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 110592, while the sum is 37.

Adding to 221344234214113 its reverse (311412432443122), we get a palindrome (532756666657235).

The spelling of 221344234214113 in words is "two hundred twenty-one trillion, three hundred forty-four billion, two hundred thirty-four million, two hundred fourteen thousand, one hundred thirteen".