34110333340117 has 2 divisors, whose sum is σ = 34110333340118. Its totient is φ = 34110333340116.

The previous prime is 34110333340043. The next prime is 34110333340123. The reversal of 34110333340117 is 71104333301143.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33479578111716 + 630755228401 = 5786154^2 + 794201^2 .

It is an emirp because it is prime and its reverse (71104333301143) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34110333340117 - 2⁷ = 34110333339989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34110333347117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17055166670058 + 17055166670059.

It is an arithmetic number, because the mean of its divisors is an integer number (17055166670059).

Almost surely, 2^{34110333340117} is an apocalyptic number.

It is an amenable number.

34110333340117 is a deficient number, since it is larger than the sum of its proper divisors (1).

34110333340117 is an equidigital number, since it uses as much as digits as its factorization.

34110333340117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 34.

The spelling of 34110333340117 in words is "thirty-four trillion, one hundred ten billion, three hundred thirty-three million, three hundred forty thousand, one hundred seventeen".