313034113305 has 12 divisors (see below), whose sum is σ = 542592463140. Its totient is φ = 166951527072.

The previous prime is 313034113289. The next prime is 313034113319. The reversal of 313034113305 is 503311430313.

313034113305 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 341 + 13 + 305 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72526260249 + 240507853056 = 269307^2 + 490416^2 .

It is not a de Polignac number, because 313034113305 - 2⁴ = 313034113289 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3478156770 + ... + 3478156859.

It is an arithmetic number, because the mean of its divisors is an integer number (45216038595).

Almost surely, 2^313034113305 is an apocalyptic number.

It is an amenable number.

313034113305 is a deficient number, since it is larger than the sum of its proper divisors (229558349835).

313034113305 is a wasteful number, since it uses less digits than its factorization.

313034113305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6956313640 (or 6956313637 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 313034113305 its reverse (503311430313), we get a palindrome (816345543618).

The spelling of 313034113305 in words is "three hundred thirteen billion, thirty-four million, one hundred thirteen thousand, three hundred five".