2223222211313 has 2 divisors, whose sum is σ = 2223222211314. Its totient is φ = 2223222211312.

The previous prime is 2223222211297. The next prime is 2223222211321. The reversal of 2223222211313 is 3131122223222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2102682703969 + 120539507344 = 1450063^2 + 347188^2 .

It is a cyclic number.

It is not a de Polignac number, because 2223222211313 - 2⁴ = 2223222211297 is a prime.

It is not a weakly prime, because it can be changed into another prime (2223222211333) 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, 1111611105656 + 1111611105657.

It is an arithmetic number, because the mean of its divisors is an integer number (1111611105657).

Almost surely, 2^{2223222211313} is an apocalyptic number.

It is an amenable number.

2223222211313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2223222211313 is an equidigital number, since it uses as much as digits as its factorization.

2223222211313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3456, while the sum is 26.

Adding to 2223222211313 its reverse (3131122223222), we get a palindrome (5354344434535).

The spelling of 2223222211313 in words is "two trillion, two hundred twenty-three billion, two hundred twenty-two million, two hundred eleven thousand, three hundred thirteen".