34111233211093 has 2 divisors, whose sum is σ = 34111233211094. Its totient is φ = 34111233211092.

The previous prime is 34111233211091. The next prime is 34111233211249. The reversal of 34111233211093 is 39011233211143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33091290765009 + 1019942446084 = 5752503^2 + 1009922^2 .

It is a cyclic number.

It is not a de Polignac number, because 34111233211093 - 2¹ = 34111233211091 is a prime.

Together with 34111233211091, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34111233211091) 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, 17055616605546 + 17055616605547.

It is an arithmetic number, because the mean of its divisors is an integer number (17055616605547).

Almost surely, 2^{34111233211093} is an apocalyptic number.

It is an amenable number.

34111233211093 is a deficient number, since it is larger than the sum of its proper divisors (1).

34111233211093 is an equidigital number, since it uses as much as digits as its factorization.

34111233211093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 34.

The spelling of 34111233211093 in words is "thirty-four trillion, one hundred eleven billion, two hundred thirty-three million, two hundred eleven thousand, ninety-three".