10066313 has 4 divisors (see below), whose sum is σ = 10081860. Its totient is φ = 10050768.

The previous prime is 10066307. The next prime is 10066321. The reversal of 10066313 is 31366001.

10066313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 7118224 + 2948089 = 2668^2 + 1717^2 .

It is a cyclic number.

It is not a de Polignac number, because 10066313 - 2¹⁴ = 10049929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10066373) 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 in 3 ways as a sum of consecutive naturals, for example, 6758 + ... + 8111.

It is an arithmetic number, because the mean of its divisors is an integer number (2520465).

Almost surely, 2^10066313 is an apocalyptic number.

It is an amenable number.

10066313 is a deficient number, since it is larger than the sum of its proper divisors (15547).

10066313 is an equidigital number, since it uses as much as digits as its factorization.

10066313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15546.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 10066313 is about 3172.7453411832. The cubic root of 10066313 is about 215.9186436294.

The spelling of 10066313 in words is "ten million, sixty-six thousand, three hundred thirteen".