2221124433313 has 2 divisors, whose sum is σ = 2221124433314. Its totient is φ = 2221124433312.

The previous prime is 2221124433299. The next prime is 2221124433317. The reversal of 2221124433313 is 3133344211222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1536627993664 + 684496439649 = 1239608^2 + 827343^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221124433313 - 2⁹ = 2221124432801 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221124433317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110562216656 + 1110562216657.

It is an arithmetic number, because the mean of its divisors is an integer number (1110562216657).

Almost surely, 2^{2221124433313} is an apocalyptic number.

It is an amenable number.

2221124433313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221124433313 is an equidigital number, since it uses as much as digits as its factorization.

2221124433313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20736, while the sum is 31.

Adding to 2221124433313 its reverse (3133344211222), we get a palindrome (5354468644535).

The spelling of 2221124433313 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-four million, four hundred thirty-three thousand, three hundred thirteen".