34311342302213 has 2 divisors, whose sum is σ = 34311342302214. Its totient is φ = 34311342302212.

The previous prime is 34311342302191. The next prime is 34311342302233. The reversal of 34311342302213 is 31220324311343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32011685304769 + 2299656997444 = 5657887^2 + 1516462^2 .

It is a cyclic number.

It is not a de Polignac number, because 34311342302213 - 2⁴² = 29913295791109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34311342302213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34311342302233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17155671151106 + 17155671151107.

It is an arithmetic number, because the mean of its divisors is an integer number (17155671151107).

Almost surely, 2^{34311342302213} is an apocalyptic number.

It is an amenable number.

34311342302213 is a deficient number, since it is larger than the sum of its proper divisors (1).

34311342302213 is an equidigital number, since it uses as much as digits as its factorization.

34311342302213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 34311342302213 its reverse (31220324311343), we get a palindrome (65531666613556).

The spelling of 34311342302213 in words is "thirty-four trillion, three hundred eleven billion, three hundred forty-two million, three hundred two thousand, two hundred thirteen".