313111305 has 64 divisors (see below), whose sum is σ = 625605120. Its totient is φ = 147426048.

The previous prime is 313111291. The next prime is 313111307. The reversal of 313111305 is 503111313.

It is not a de Polignac number, because 313111305 - 2⁵ = 313111273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313111307) 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 63 ways as a sum of consecutive naturals, for example, 36487 + ... + 44243.

It is an arithmetic number, because the mean of its divisors is an integer number (9775080).

Almost surely, 2^313111305 is an apocalyptic number.

It is an amenable number.

313111305 is a deficient number, since it is larger than the sum of its proper divisors (312493815).

313111305 is a wasteful number, since it uses less digits than its factorization.

313111305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7807 (or 7801 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 313111305 is about 17694.9513986335. The cubic root of 313111305 is about 679.0466058155.

Adding to 313111305 its reverse (503111313), we get a palindrome (816222618).

The spelling of 313111305 in words is "three hundred thirteen million, one hundred eleven thousand, three hundred five".