114330124123337 has 2 divisors, whose sum is σ = 114330124123338. Its totient is φ = 114330124123336.

The previous prime is 114330124123253. The next prime is 114330124123339. The reversal of 114330124123337 is 733321421033411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114306974805136 + 23149318201 = 10691444^2 + 152149^2 .

It is a cyclic number.

It is not a de Polignac number, because 114330124123337 - 2¹² = 114330124119241 is a prime.

Together with 114330124123339, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114330124123337.

It is not a weakly prime, because it can be changed into another prime (114330124123339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57165062061668 + 57165062061669.

It is an arithmetic number, because the mean of its divisors is an integer number (57165062061669).

Almost surely, 2^{114330124123337} is an apocalyptic number.

It is an amenable number.

114330124123337 is a deficient number, since it is larger than the sum of its proper divisors (1).

114330124123337 is an equidigital number, since it uses as much as digits as its factorization.

114330124123337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 38.

Adding to 114330124123337 its reverse (733321421033411), we get a palindrome (847651545156748).

The spelling of 114330124123337 in words is "one hundred fourteen trillion, three hundred thirty billion, one hundred twenty-four million, one hundred twenty-three thousand, three hundred thirty-seven".