114005313 has 10 divisors (see below), whose sum is σ = 170304354. Its totient is φ = 76003488.

The previous prime is 114005303. The next prime is 114005323. The reversal of 114005313 is 313500411.

It is an interprime number because it is at equal distance from previous prime (114005303) and next prime (114005323).

It can be written as a sum of positive squares in only one way, i.e., 95883264 + 18122049 = 9792^2 + 4257^2 .

It is not a de Polignac number, because 114005313 - 2⁸ = 114005057 is a prime.

It is a super-2 number, since 2×114005313² = 25994422784455938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114005303) 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 in 9 ways as a sum of consecutive naturals, for example, 703656 + ... + 703817.

Almost surely, 2^114005313 is an apocalyptic number.

It is an amenable number.

114005313 is a deficient number, since it is larger than the sum of its proper divisors (56299041).

114005313 is an equidigital number, since it uses as much as digits as its factorization.

114005313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407485 (or 1407476 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 114005313 is about 10677.3270531533. The cubic root of 114005313 is about 484.8882911321. Note that the first 3 decimals are identical.

Adding to 114005313 its reverse (313500411), we get a palindrome (427505724).

The spelling of 114005313 in words is "one hundred fourteen million, five thousand, three hundred thirteen".