113200013 has 2 divisors, whose sum is σ = 113200014. Its totient is φ = 113200012.

The previous prime is 113199979. The next prime is 113200027. The reversal of 113200013 is 310002311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96569929 + 16630084 = 9827^2 + 4078^2 .

It is a cyclic number.

It is not a de Polignac number, because 113200013 - 2²² = 109005709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113199967 and 113200003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113200033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56600006 + 56600007.

It is an arithmetic number, because the mean of its divisors is an integer number (56600007).

Almost surely, 2^113200013 is an apocalyptic number.

It is an amenable number.

113200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

113200013 is an equidigital number, since it uses as much as digits as its factorization.

113200013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 113200013 is about 10639.5494735445. The cubic root of 113200013 is about 483.7438895573.

Adding to 113200013 its reverse (310002311), we get a palindrome (423202324).

The spelling of 113200013 in words is "one hundred thirteen million, two hundred thousand, thirteen".