41017128711311 has 2 divisors, whose sum is σ = 41017128711312. Its totient is φ = 41017128711310.

The previous prime is 41017128711233. The next prime is 41017128711341. The reversal of 41017128711311 is 11311782171014.

41017128711311 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 is a cyclic number.

It is not a de Polignac number, because 41017128711311 - 2¹⁰ = 41017128710287 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41017128711341) 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, 20508564355655 + 20508564355656.

It is an arithmetic number, because the mean of its divisors is an integer number (20508564355656).

Almost surely, 2^{41017128711311} is an apocalyptic number.

41017128711311 is a deficient number, since it is larger than the sum of its proper divisors (1).

41017128711311 is an equidigital number, since it uses as much as digits as its factorization.

41017128711311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9408, while the sum is 38.

The spelling of 41017128711311 in words is "forty-one trillion, seventeen billion, one hundred twenty-eight million, seven hundred eleven thousand, three hundred eleven".