41011334134097 has 2 divisors, whose sum is σ = 41011334134098. Its totient is φ = 41011334134096.

The previous prime is 41011334134079. The next prime is 41011334134171. The reversal of 41011334134097 is 79043143311014.

Together with previous prime (41011334134079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37375909325056 + 3635424809041 = 6113584^2 + 1906679^2 .

It is a cyclic number.

It is not a de Polignac number, because 41011334134097 - 2¹⁶ = 41011334068561 is a prime.

It is not a weakly prime, because it can be changed into another prime (41011334134007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20505667067048 + 20505667067049.

It is an arithmetic number, because the mean of its divisors is an integer number (20505667067049).

Almost surely, 2^{41011334134097} is an apocalyptic number.

It is an amenable number.

41011334134097 is a deficient number, since it is larger than the sum of its proper divisors (1).

41011334134097 is an equidigital number, since it uses as much as digits as its factorization.

41011334134097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108864, while the sum is 41.

The spelling of 41011334134097 in words is "forty-one trillion, eleven billion, three hundred thirty-four million, one hundred thirty-four thousand, ninety-seven".