10044314322041 has 2 divisors, whose sum is σ = 10044314322042. Its totient is φ = 10044314322040.

The previous prime is 10044314321959. The next prime is 10044314322043. The reversal of 10044314322041 is 14022341344001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8781567683641 + 1262746638400 = 2963371^2 + 1123720^2 .

It is a cyclic number.

It is not a de Polignac number, because 10044314322041 - 2²⁶ = 10044247213177 is a prime.

It is a Sophie Germain prime.

Together with 10044314322043, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10044314321995 and 10044314322013.

It is not a weakly prime, because it can be changed into another prime (10044314322043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5022157161020 + 5022157161021.

It is an arithmetic number, because the mean of its divisors is an integer number (5022157161021).

Almost surely, 2^{10044314322041} is an apocalyptic number.

It is an amenable number.

10044314322041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10044314322041 is an equidigital number, since it uses as much as digits as its factorization.

10044314322041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 10044314322041 its reverse (14022341344001), we get a palindrome (24066655666042).

The spelling of 10044314322041 in words is "ten trillion, forty-four billion, three hundred fourteen million, three hundred twenty-two thousand, forty-one".