114334220321 has 2 divisors, whose sum is σ = 114334220322. Its totient is φ = 114334220320.

The previous prime is 114334220293. The next prime is 114334220323. The reversal of 114334220321 is 123022433411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110224000000 + 4110220321 = 332000^2 + 64111^2 .

It is an emirp because it is prime and its reverse (123022433411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114334220321 - 2¹⁰ = 114334219297 is a prime.

Together with 114334220323, 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 (114334220323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57167110160 + 57167110161.

It is an arithmetic number, because the mean of its divisors is an integer number (57167110161).

Almost surely, 2^114334220321 is an apocalyptic number.

It is an amenable number.

114334220321 is a deficient number, since it is larger than the sum of its proper divisors (1).

114334220321 is an equidigital number, since it uses as much as digits as its factorization.

114334220321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 114334220321 its reverse (123022433411), we get a palindrome (237356653732).

The spelling of 114334220321 in words is "one hundred fourteen billion, three hundred thirty-four million, two hundred twenty thousand, three hundred twenty-one".