41313114435041 has 2 divisors, whose sum is σ = 41313114435042. Its totient is φ = 41313114435040.

The previous prime is 41313114435013. The next prime is 41313114435049. The reversal of 41313114435041 is 14053441131314.

41313114435041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26612484895441 + 14700629539600 = 5158729^2 + 3834140^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-41313114435041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41313114434992 and 41313114435010.

It is not a weakly prime, because it can be changed into another prime (41313114435049) 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, 20656557217520 + 20656557217521.

It is an arithmetic number, because the mean of its divisors is an integer number (20656557217521).

Almost surely, 2^{41313114435041} is an apocalyptic number.

It is an amenable number.

41313114435041 is a deficient number, since it is larger than the sum of its proper divisors (1).

41313114435041 is an equidigital number, since it uses as much as digits as its factorization.

41313114435041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 35.

Adding to 41313114435041 its reverse (14053441131314), we get a palindrome (55366555566355).

The spelling of 41313114435041 in words is "forty-one trillion, three hundred thirteen billion, one hundred fourteen million, four hundred thirty-five thousand, forty-one".