10013305 has 4 divisors (see below), whose sum is σ = 12015972. Its totient is φ = 8010640.

The previous prime is 10013287. The next prime is 10013317. The reversal of 10013305 is 50331001.

10013305 is digitally balanced in base 2, 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 4272489 + 5740816 = 2067^2 + 2396^2 .

It is not a de Polignac number, because 10013305 - 2¹⁷ = 9882233 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a nontrivial repunit in base 56.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1001326 + ... + 1001335.

It is an arithmetic number, because the mean of its divisors is an integer number (3003993).

Almost surely, 2^10013305 is an apocalyptic number.

It is an amenable number.

10013305 is a deficient number, since it is larger than the sum of its proper divisors (2002667).

10013305 is an equidigital number, since it uses as much as digits as its factorization.

10013305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002666.

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

The square root of 10013305 is about 3164.3806661020. The cubic root of 10013305 is about 215.5389758369.

Adding to 10013305 its reverse (50331001), we get a palindrome (60344306).

The spelling of 10013305 in words is "ten million, thirteen thousand, three hundred five".