171111000001141 has 2 divisors, whose sum is σ = 171111000001142. Its totient is φ = 171111000001140.

The previous prime is 171111000001127. The next prime is 171111000001219. The reversal of 171111000001141 is 141100000111171.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 143056191572100 + 28054808429041 = 11960610^2 + 5296679^2 .

It is a cyclic number.

It is not a de Polignac number, because 171111000001141 - 2²⁵ = 171110966446709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (171111007001141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 85555500000570 + 85555500000571.

It is an arithmetic number, because the mean of its divisors is an integer number (85555500000571).

Almost surely, 2^{171111000001141} is an apocalyptic number.

It is an amenable number.

171111000001141 is a deficient number, since it is larger than the sum of its proper divisors (1).

171111000001141 is an equidigital number, since it uses as much as digits as its factorization.

171111000001141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 19.

The spelling of 171111000001141 in words is "one hundred seventy-one trillion, one hundred eleven billion, one thousand, one hundred forty-one".