34112443113097 has 2 divisors, whose sum is σ = 34112443113098. Its totient is φ = 34112443113096.

The previous prime is 34112443113043. The next prime is 34112443113137. The reversal of 34112443113097 is 79031134421143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29984703237241 + 4127739875856 = 5475829^2 + 2031684^2 .

It is an emirp because it is prime and its reverse (79031134421143) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34112443113097 - 2²⁷ = 34112308895369 is a prime.

It is not a weakly prime, because it can be changed into another prime (34112443113997) 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, 17056221556548 + 17056221556549.

It is an arithmetic number, because the mean of its divisors is an integer number (17056221556549).

Almost surely, 2^{34112443113097} is an apocalyptic number.

It is an amenable number.

34112443113097 is a deficient number, since it is larger than the sum of its proper divisors (1).

34112443113097 is an equidigital number, since it uses as much as digits as its factorization.

34112443113097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 34112443113097 in words is "thirty-four trillion, one hundred twelve billion, four hundred forty-three million, one hundred thirteen thousand, ninety-seven".