112322223313241 has 2 divisors, whose sum is σ = 112322223313242. Its totient is φ = 112322223313240.

The previous prime is 112322223313171. The next prime is 112322223313243. The reversal of 112322223313241 is 142313322223211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104640706195216 + 7681517118025 = 10229404^2 + 2771555^2 .

It is a cyclic number.

It is not a de Polignac number, because 112322223313241 - 2⁴⁶ = 41953479135577 is a prime.

Together with 112322223313243, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 112322223313198 and 112322223313207.

It is not a weakly prime, because it can be changed into another prime (112322223313243) 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, 56161111656620 + 56161111656621.

It is an arithmetic number, because the mean of its divisors is an integer number (56161111656621).

Almost surely, 2^{112322223313241} is an apocalyptic number.

It is an amenable number.

112322223313241 is a deficient number, since it is larger than the sum of its proper divisors (1).

112322223313241 is an equidigital number, since it uses as much as digits as its factorization.

112322223313241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20736, while the sum is 32.

Adding to 112322223313241 its reverse (142313322223211), we get a palindrome (254635545536452).

The spelling of 112322223313241 in words is "one hundred twelve trillion, three hundred twenty-two billion, two hundred twenty-three million, three hundred thirteen thousand, two hundred forty-one".