41042341113001 has 2 divisors, whose sum is σ = 41042341113002. Its totient is φ = 41042341113000.

The previous prime is 41042341112959. The next prime is 41042341113023. The reversal of 41042341113001 is 10031114324014.

41042341113001 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., 40709759376400 + 332581736601 = 6380420^2 + 576699^2 .

It is a cyclic number.

It is not a de Polignac number, because 41042341113001 - 2³¹ = 41040193629353 is a prime.

It is not a weakly prime, because it can be changed into another prime (41042341113031) 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, 20521170556500 + 20521170556501.

It is an arithmetic number, because the mean of its divisors is an integer number (20521170556501).

Almost surely, 2^{41042341113001} is an apocalyptic number.

It is an amenable number.

41042341113001 is a deficient number, since it is larger than the sum of its proper divisors (1).

41042341113001 is an equidigital number, since it uses as much as digits as its factorization.

41042341113001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 41042341113001 its reverse (10031114324014), we get a palindrome (51073455437015).

The spelling of 41042341113001 in words is "forty-one trillion, forty-two billion, three hundred forty-one million, one hundred thirteen thousand, one".