114312331121 has 2 divisors, whose sum is σ = 114312331122. Its totient is φ = 114312331120.

The previous prime is 114312331099. The next prime is 114312331123. The reversal of 114312331121 is 121133213411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109090823521 + 5221507600 = 330289^2 + 72260^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-114312331121 is a prime.

It is a Sophie Germain prime.

Together with 114312331123, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (114312331123) 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, 57156165560 + 57156165561.

It is an arithmetic number, because the mean of its divisors is an integer number (57156165561).

Almost surely, 2^114312331121 is an apocalyptic number.

It is an amenable number.

114312331121 is a deficient number, since it is larger than the sum of its proper divisors (1).

114312331121 is an equidigital number, since it uses as much as digits as its factorization.

114312331121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 23.

Adding to 114312331121 its reverse (121133213411), we get a palindrome (235445544532).

The spelling of 114312331121 in words is "one hundred fourteen billion, three hundred twelve million, three hundred thirty-one thousand, one hundred twenty-one".