41222332122313 has 2 divisors, whose sum is σ = 41222332122314. Its totient is φ = 41222332122312.

The previous prime is 41222332122311. The next prime is 41222332122347. The reversal of 41222332122313 is 31322123322214.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40488888895744 + 733443226569 = 6363088^2 + 856413^2 .

It is a cyclic number.

It is not a de Polignac number, because 41222332122313 - 2¹ = 41222332122311 is a prime.

Together with 41222332122311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (41222332122311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20611166061156 + 20611166061157.

It is an arithmetic number, because the mean of its divisors is an integer number (20611166061157).

Almost surely, 2^{41222332122313} is an apocalyptic number.

It is an amenable number.

41222332122313 is a deficient number, since it is larger than the sum of its proper divisors (1).

41222332122313 is an equidigital number, since it uses as much as digits as its factorization.

41222332122313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 20736, while the sum is 31.

Adding to 41222332122313 its reverse (31322123322214), we get a palindrome (72544455444527).

The spelling of 41222332122313 in words is "forty-one trillion, two hundred twenty-two billion, three hundred thirty-two million, one hundred twenty-two thousand, three hundred thirteen".