114241131242009 has 2 divisors, whose sum is σ = 114241131242010. Its totient is φ = 114241131242008.

The previous prime is 114241131241949. The next prime is 114241131242011. The reversal of 114241131242009 is 900242131142411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85935273136384 + 28305858105625 = 9270128^2 + 5320325^2 .

It is a cyclic number.

It is not a de Polignac number, because 114241131242009 - 2²⁰ = 114241130193433 is a prime.

Together with 114241131242011, 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 114241131242009.

It is not a weakly prime, because it can be changed into another prime (114241131142009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57120565621004 + 57120565621005.

It is an arithmetic number, because the mean of its divisors is an integer number (57120565621005).

Almost surely, 2^{114241131242009} is an apocalyptic number.

It is an amenable number.

114241131242009 is a deficient number, since it is larger than the sum of its proper divisors (1).

114241131242009 is an equidigital number, since it uses as much as digits as its factorization.

114241131242009 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 35.

The spelling of 114241131242009 in words is "one hundred fourteen trillion, two hundred forty-one billion, one hundred thirty-one million, two hundred forty-two thousand, nine".