4314042122321 has 2 divisors, whose sum is σ = 4314042122322. Its totient is φ = 4314042122320.

The previous prime is 4314042122303. The next prime is 4314042122323. The reversal of 4314042122321 is 1232212404134.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4082258611600 + 231783510721 = 2020460^2 + 481439^2 .

It is a cyclic number.

It is not a de Polignac number, because 4314042122321 - 2¹⁰ = 4314042121297 is a prime.

It is a super-2 number, since 2×4314042122321² (a number of 26 digits) contains 22 as substring.

Together with 4314042122323, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4314042122323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2157021061160 + 2157021061161.

It is an arithmetic number, because the mean of its divisors is an integer number (2157021061161).

Almost surely, 2^{4314042122321} is an apocalyptic number.

It is an amenable number.

4314042122321 is a deficient number, since it is larger than the sum of its proper divisors (1).

4314042122321 is an equidigital number, since it uses as much as digits as its factorization.

4314042122321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 4314042122321 its reverse (1232212404134), we get a palindrome (5546254526455).

The spelling of 4314042122321 in words is "four trillion, three hundred fourteen billion, forty-two million, one hundred twenty-two thousand, three hundred twenty-one".