34012334211041 has 2 divisors, whose sum is σ = 34012334211042. Its totient is φ = 34012334211040.

The previous prime is 34012334211019. The next prime is 34012334211043. The reversal of 34012334211041 is 14011243321043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18941470752400 + 15070863458641 = 4352180^2 + 3882121^2 .

It is an emirp because it is prime and its reverse (14011243321043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34012334211041 - 2¹⁸ = 34012333948897 is a prime.

Together with 34012334211043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 34012334210995 and 34012334211013.

It is not a weakly prime, because it can be changed into another prime (34012334211043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17006167105520 + 17006167105521.

It is an arithmetic number, because the mean of its divisors is an integer number (17006167105521).

Almost surely, 2^{34012334211041} is an apocalyptic number.

It is an amenable number.

34012334211041 is a deficient number, since it is larger than the sum of its proper divisors (1).

34012334211041 is an equidigital number, since it uses as much as digits as its factorization.

34012334211041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 34012334211041 its reverse (14011243321043), we get a palindrome (48023577532084).

The spelling of 34012334211041 in words is "thirty-four trillion, twelve billion, three hundred thirty-four million, two hundred eleven thousand, forty-one".