313105305 has 16 divisors (see below), whose sum is σ = 511628544. Its totient is φ = 163436160.

The previous prime is 313105277. The next prime is 313105307. The reversal of 313105305 is 503501313.

It is a happy number.

It is not a de Polignac number, because 313105305 - 2⁶ = 313105241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313105307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221356 + ... + 222765.

It is an arithmetic number, because the mean of its divisors is an integer number (31976784).

Almost surely, 2^313105305 is an apocalyptic number.

It is an amenable number.

313105305 is a deficient number, since it is larger than the sum of its proper divisors (198523239).

313105305 is a wasteful number, since it uses less digits than its factorization.

313105305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444176.

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 313105305 is about 17694.7818579377. The cubic root of 313105305 is about 679.0422683742.

Adding to 313105305 its reverse (503501313), we get a palindrome (816606618).

The spelling of 313105305 in words is "three hundred thirteen million, one hundred five thousand, three hundred five".