313113313305 has 96 divisors (see below), whose sum is σ = 587859068160. Its totient is φ = 153258462720.

The previous prime is 313113313277. The next prime is 313113313307. The reversal of 313113313305 is 503313311313.

313113313305 is a `hidden beast` number, since 3 + 1 + 31 + 13 + 313 + 305 = 666.

It is not a de Polignac number, because 313113313305 - 2⁶ = 313113313241 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (313113313307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138116782 + ... + 138119048.

It is an arithmetic number, because the mean of its divisors is an integer number (6123531960).

Almost surely, 2^313113313305 is an apocalyptic number.

It is an amenable number.

313113313305 is a deficient number, since it is larger than the sum of its proper divisors (274745754855).

313113313305 is a wasteful number, since it uses less digits than its factorization.

313113313305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3551 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 3645, while the sum is 27.

Adding to 313113313305 its reverse (503313311313), we get a palindrome (816426624618).

The spelling of 313113313305 in words is "three hundred thirteen billion, one hundred thirteen million, three hundred thirteen thousand, three hundred five".