113305013 has 2 divisors, whose sum is σ = 113305014. Its totient is φ = 113305012.

The previous prime is 113304977. The next prime is 113305057. The reversal of 113305013 is 310503311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111661489 + 1643524 = 10567^2 + 1282^2 .

It is an emirp because it is prime and its reverse (310503311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113305013 - 2⁸ = 113304757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113304982 and 113305000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112305013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56652506 + 56652507.

It is an arithmetic number, because the mean of its divisors is an integer number (56652507).

Almost surely, 2^113305013 is an apocalyptic number.

It is an amenable number.

113305013 is a deficient number, since it is larger than the sum of its proper divisors (1).

113305013 is an equidigital number, since it uses as much as digits as its factorization.

113305013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 113305013 is about 10644.4827492932. The cubic root of 113305013 is about 483.8934107766.

Adding to 113305013 its reverse (310503311), we get a palindrome (423808324).

The spelling of 113305013 in words is "one hundred thirteen million, three hundred five thousand, thirteen".