113513 has 2 divisors, whose sum is σ = 113514. Its totient is φ = 113512.

The previous prime is 113501. The next prime is 113537. The reversal of 113513 is 315311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107584 + 5929 = 328^2 + 77^2 .

It is a cyclic number.

It is not a de Polignac number, because 113513 - 2⁴ = 113497 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (113213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56756 + 56757.

It is an arithmetic number, because the mean of its divisors is an integer number (56757).

2¹¹³⁵¹³ is an apocalyptic number.

It is an amenable number.

113513 is a deficient number, since it is larger than the sum of its proper divisors (1).

113513 is an equidigital number, since it uses as much as digits as its factorization.

113513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45, while the sum is 14.

The square root of 113513 is about 336.9169037018. The cubic root of 113513 is about 48.4189314189.

Adding to 113513 its reverse (315311), we get a palindrome (428824).

It can be divided in two parts, 113 and 513, that added together give a palindrome (626).

The spelling of 113513 in words is "one hundred thirteen thousand, five hundred thirteen".