115013 has 2 divisors, whose sum is σ = 115014. Its totient is φ = 115012.

The previous prime is 115001. The next prime is 115019. The reversal of 115013 is 310511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113569 + 1444 = 337^2 + 38^2 .

It is an emirp because it is prime and its reverse (310511) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 115013 - 2⁴ = 114997 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 114985 and 115003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (115019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57506 + 57507.

It is an arithmetic number, because the mean of its divisors is an integer number (57507).

2¹¹⁵⁰¹³ is an apocalyptic number.

It is an amenable number.

115013 is a deficient number, since it is larger than the sum of its proper divisors (1).

115013 is an equidigital number, since it uses as much as digits as its factorization.

115013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 115013 is about 339.1356660689. The cubic root of 115013 is about 48.6312736556.

Adding to 115013 its reverse (310511), we get a palindrome (425524).

The spelling of 115013 in words is "one hundred fifteen thousand, thirteen".