221424313361 has 2 divisors, whose sum is σ = 221424313362. Its totient is φ = 221424313360.

The previous prime is 221424313339. The next prime is 221424313399. The reversal of 221424313361 is 163313424122.

221424313361 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., 126579408400 + 94844904961 = 355780^2 + 307969^2 .

It is a cyclic number.

It is not a de Polignac number, because 221424313361 - 2¹⁸ = 221424051217 is a prime.

It is not a weakly prime, because it can be changed into another prime (221424313301) 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, 110712156680 + 110712156681.

It is an arithmetic number, because the mean of its divisors is an integer number (110712156681).

Almost surely, 2^221424313361 is an apocalyptic number.

It is an amenable number.

221424313361 is a deficient number, since it is larger than the sum of its proper divisors (1).

221424313361 is an equidigital number, since it uses as much as digits as its factorization.

221424313361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20736, while the sum is 32.

Adding to 221424313361 its reverse (163313424122), we get a palindrome (384737737483).

The spelling of 221424313361 in words is "two hundred twenty-one billion, four hundred twenty-four million, three hundred thirteen thousand, three hundred sixty-one".