114312033042241 has 2 divisors, whose sum is σ = 114312033042242. Its totient is φ = 114312033042240.

The previous prime is 114312033042223. The next prime is 114312033042283. The reversal of 114312033042241 is 142240330213411.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96727303680016 + 17584729362225 = 9835004^2 + 4193415^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-114312033042241 is a prime.

It is not a weakly prime, because it can be changed into another prime (114312033042211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57156016521120 + 57156016521121.

It is an arithmetic number, because the mean of its divisors is an integer number (57156016521121).

Almost surely, 2^{114312033042241} is an apocalyptic number.

It is an amenable number.

114312033042241 is a deficient number, since it is larger than the sum of its proper divisors (1).

114312033042241 is an equidigital number, since it uses as much as digits as its factorization.

114312033042241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 114312033042241 its reverse (142240330213411), we get a palindrome (256552363255652).

The spelling of 114312033042241 in words is "one hundred fourteen trillion, three hundred twelve billion, thirty-three million, forty-two thousand, two hundred forty-one".