100005313 has 2 divisors, whose sum is σ = 100005314. Its totient is φ = 100005312.

The previous prime is 100005307. The next prime is 100005317. The reversal of 100005313 is 313500001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73667889 + 26337424 = 8583^2 + 5132^2 .

It is a cyclic number.

It is not a de Polignac number, because 100005313 - 2⁵ = 100005281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100005293 and 100005302.

It is not a weakly prime, because it can be changed into another prime (100005317) 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, 50002656 + 50002657.

It is an arithmetic number, because the mean of its divisors is an integer number (50002657).

Almost surely, 2^100005313 is an apocalyptic number.

It is an amenable number.

100005313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100005313 is an equidigital number, since it uses as much as digits as its factorization.

100005313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 100005313 is about 10000.2656464716. The cubic root of 100005313 is about 464.1671034695.

Adding to 100005313 its reverse (313500001), we get a palindrome (413505314).

The spelling of 100005313 in words is "one hundred million, five thousand, three hundred thirteen".