34144211102341 has 2 divisors, whose sum is σ = 34144211102342. Its totient is φ = 34144211102340.

The previous prime is 34144211102329. The next prime is 34144211102401. The reversal of 34144211102341 is 14320111244143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22689303162241 + 11454907940100 = 4763329^2 + 3384510^2 .

It is an emirp because it is prime and its reverse (14320111244143) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34144211102341 - 2⁷ = 34144211102213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34144211102311) 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, 17072105551170 + 17072105551171.

It is an arithmetic number, because the mean of its divisors is an integer number (17072105551171).

Almost surely, 2^{34144211102341} is an apocalyptic number.

It is an amenable number.

34144211102341 is a deficient number, since it is larger than the sum of its proper divisors (1).

34144211102341 is an equidigital number, since it uses as much as digits as its factorization.

34144211102341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 34144211102341 its reverse (14320111244143), we get a palindrome (48464322346484).

The spelling of 34144211102341 in words is "thirty-four trillion, one hundred forty-four billion, two hundred eleven million, one hundred two thousand, three hundred forty-one".