313201305 has 48 divisors (see below), whose sum is σ = 567103680. Its totient is φ = 159702144.

The previous prime is 313201289. The next prime is 313201307. The reversal of 313201305 is 503102313.

It is not a de Polignac number, because 313201305 - 2⁴ = 313201289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313201307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138514 + ... + 140756.

It is an arithmetic number, because the mean of its divisors is an integer number (11814660).

Almost surely, 2^313201305 is an apocalyptic number.

It is an amenable number.

313201305 is a deficient number, since it is larger than the sum of its proper divisors (253902375).

313201305 is a wasteful number, since it uses less digits than its factorization.

313201305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 313201305 is about 17697.4943141678. The cubic root of 313201305 is about 679.1116607858. Note that the first 3 decimals are identical.

Adding to 313201305 its reverse (503102313), we get a palindrome (816303618).

The spelling of 313201305 in words is "three hundred thirteen million, two hundred one thousand, three hundred five".