114013442313 has 6 divisors (see below), whose sum is σ = 164686083354. Its totient is φ = 76008961536.

The previous prime is 114013442303. The next prime is 114013442327. The reversal of 114013442313 is 313244310411.

114013442313 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 1 + 344 + 2 + 313 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62062269129 + 51951173184 = 249123^2 + 227928^2 .

It is not a de Polignac number, because 114013442313 - 2⁴ = 114013442297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114013442303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6334080120 + ... + 6334080137.

It is an arithmetic number, because the mean of its divisors is an integer number (27447680559).

Almost surely, 2^114013442313 is an apocalyptic number.

It is an amenable number.

114013442313 is a deficient number, since it is larger than the sum of its proper divisors (50672641041).

114013442313 is a wasteful number, since it uses less digits than its factorization.

114013442313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12668160263 (or 12668160260 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 114013442313 its reverse (313244310411), we get a palindrome (427257752724).

The spelling of 114013442313 in words is "one hundred fourteen billion, thirteen million, four hundred forty-two thousand, three hundred thirteen".