115188000313 has 4 divisors (see below), whose sum is σ = 115189767028. Its totient is φ = 115186233600.

The previous prime is 115188000307. The next prime is 115188000337. The reversal of 115188000313 is 313000881511.

115188000313 = 239987² + 239988².

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 313000881511 = 474581 ⋅659531.

It can be written as a sum of positive squares in 2 ways, for example, as 57594240144 + 57593760169 = 239988^2 + 239987^2 .

It is a cyclic number.

It is not a de Polignac number, because 115188000313 - 2²⁵ = 115154445881 is a prime.

It is a super-2 number, since 2×115188000313² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115188000353) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 781656 + ... + 917257.

It is an arithmetic number, because the mean of its divisors is an integer number (28797441757).

Almost surely, 2^115188000313 is an apocalyptic number.

115188000313 is the 239988-th centered square number.

It is an amenable number.

115188000313 is a deficient number, since it is larger than the sum of its proper divisors (1766715).

115188000313 is an equidigital number, since it uses as much as digits as its factorization.

115188000313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766714.

The product of its (nonzero) digits is 2880, while the sum is 31.

Adding to 115188000313 its reverse (313000881511), we get a palindrome (428188881824).

The spelling of 115188000313 in words is "one hundred fifteen billion, one hundred eighty-eight million, three hundred thirteen", and thus it is an aban number.