2221313441 has 2 divisors, whose sum is σ = 2221313442. Its totient is φ = 2221313440.

The previous prime is 2221313417. The next prime is 2221313447. The reversal of 2221313441 is 1443131222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1496142400 + 725171041 = 38680^2 + 26929^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2221313441 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221313447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110656720 + 1110656721.

It is an arithmetic number, because the mean of its divisors is an integer number (1110656721).

Almost surely, 2^2221313441 is an apocalyptic number.

It is an amenable number.

2221313441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221313441 is an equidigital number, since it uses as much as digits as its factorization.

2221313441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1152, while the sum is 23.

The square root of 2221313441 is about 47130.8120129497. The cubic root of 2221313441 is about 1304.7779682249. Note that the first 3 decimals are identical.

Adding to 2221313441 its reverse (1443131222), we get a palindrome (3664444663).

The spelling of 2221313441 in words is "two billion, two hundred twenty-one million, three hundred thirteen thousand, four hundred forty-one".