114145313 has 2 divisors, whose sum is σ = 114145314. Its totient is φ = 114145312.

The previous prime is 114145307. The next prime is 114145319. The reversal of 114145313 is 313541411.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (114145307) and next prime (114145319).

It can be written as a sum of positive squares in only one way, i.e., 73479184 + 40666129 = 8572^2 + 6377^2 .

It is a cyclic number.

It is not a de Polignac number, because 114145313 - 2¹⁴ = 114128929 is a prime.

It is not a weakly prime, because it can be changed into another prime (114145319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57072656 + 57072657.

It is an arithmetic number, because the mean of its divisors is an integer number (57072657).

Almost surely, 2^114145313 is an apocalyptic number.

It is an amenable number.

114145313 is a deficient number, since it is larger than the sum of its proper divisors (1).

114145313 is an equidigital number, since it uses as much as digits as its factorization.

114145313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 720, while the sum is 23.

The square root of 114145313 is about 10683.8809896030. The cubic root of 114145313 is about 485.0866929735.

Adding to 114145313 its reverse (313541411), we get a palindrome (427686724).

The spelling of 114145313 in words is "one hundred fourteen million, one hundred forty-five thousand, three hundred thirteen".