10405313 has 4 divisors (see below), whose sum is σ = 10413360. Its totient is φ = 10397268.

The previous prime is 10405289. The next prime is 10405321. The reversal of 10405313 is 31350401.

10405313 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, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 10405313 - 2¹² = 10401217 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10405291 and 10405300.

It is not an unprimeable number, because it can be changed into a prime (10405363) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1595 + ... + 4832.

It is an arithmetic number, because the mean of its divisors is an integer number (2603340).

Almost surely, 2^10405313 is an apocalyptic number.

It is an amenable number.

10405313 is a deficient number, since it is larger than the sum of its proper divisors (8047).

10405313 is an equidigital number, since it uses as much as digits as its factorization.

10405313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8046.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 10405313 is about 3225.7267398216. The cubic root of 10405313 is about 218.3157406073.

Adding to 10405313 its reverse (31350401), we get a palindrome (41755714).

The spelling of 10405313 in words is "ten million, four hundred five thousand, three hundred thirteen".