113406313 has 2 divisors, whose sum is σ = 113406314. Its totient is φ = 113406312.

The previous prime is 113406299. The next prime is 113406329. The reversal of 113406313 is 313604311.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111788329 + 1617984 = 10573^2 + 1272^2 .

It is an emirp because it is prime and its reverse (313604311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113406313 - 2¹³ = 113398121 is a prime.

It is not a weakly prime, because it can be changed into another prime (113406373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56703156 + 56703157.

It is an arithmetic number, because the mean of its divisors is an integer number (56703157).

Almost surely, 2^113406313 is an apocalyptic number.

It is an amenable number.

113406313 is a deficient number, since it is larger than the sum of its proper divisors (1).

113406313 is an equidigital number, since it uses as much as digits as its factorization.

113406313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 113406313 is about 10649.2400198324. The cubic root of 113406313 is about 484.0375756293.

The spelling of 113406313 in words is "one hundred thirteen million, four hundred six thousand, three hundred thirteen".