331223121112241 has 2 divisors, whose sum is σ = 331223121112242. Its totient is φ = 331223121112240.

The previous prime is 331223121112229. The next prime is 331223121112277. The reversal of 331223121112241 is 142211121322133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 185791484386225 + 145431636726016 = 13630535^2 + 12059504^2 .

It is a cyclic number.

It is not a de Polignac number, because 331223121112241 - 2²⁶ = 331223054003377 is a prime.

It is not a weakly prime, because it can be changed into another prime (331223121102241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165611560556120 + 165611560556121.

It is an arithmetic number, because the mean of its divisors is an integer number (165611560556121).

Almost surely, 2^{331223121112241} is an apocalyptic number.

It is an amenable number.

331223121112241 is a deficient number, since it is larger than the sum of its proper divisors (1).

331223121112241 is an equidigital number, since it uses as much as digits as its factorization.

331223121112241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3456, while the sum is 29.

Adding to 331223121112241 its reverse (142211121322133), we get a palindrome (473434242434374).

The spelling of 331223121112241 in words is "three hundred thirty-one trillion, two hundred twenty-three billion, one hundred twenty-one million, one hundred twelve thousand, two hundred forty-one".