2122313332241 has 2 divisors, whose sum is σ = 2122313332242. Its totient is φ = 2122313332240.

The previous prime is 2122313332207. The next prime is 2122313332259. The reversal of 2122313332241 is 1422333132212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2120311664641 + 2001667600 = 1456129^2 + 44740^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122313332241 - 2⁶ = 2122313332177 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2122313352241) 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, 1061156666120 + 1061156666121.

It is an arithmetic number, because the mean of its divisors is an integer number (1061156666121).

Almost surely, 2^{2122313332241} is an apocalyptic number.

It is an amenable number.

2122313332241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122313332241 is an equidigital number, since it uses as much as digits as its factorization.

2122313332241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10368, while the sum is 29.

Adding to 2122313332241 its reverse (1422333132212), we get a palindrome (3544646464453).

The spelling of 2122313332241 in words is "two trillion, one hundred twenty-two billion, three hundred thirteen million, three hundred thirty-two thousand, two hundred forty-one".