313331031310113 has 96 divisors (see below), whose sum is σ = 505030038829056. Its totient is φ = 186179182953984.

The previous prime is 313331031310111. The next prime is 313331031310133. The reversal of 313331031310113 is 311013130133313.

313331031310113 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 310 + 31 + 310 + 1 + 1 + 3 = 666.

It is not a de Polignac number, because 313331031310113 - 2¹ = 313331031310111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313331031310111) 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, 1459507006 + ... + 1459721672.

It is an arithmetic number, because the mean of its divisors is an integer number (5260729571136).

Almost surely, 2^{313331031310113} is an apocalyptic number.

It is an amenable number.

313331031310113 is a deficient number, since it is larger than the sum of its proper divisors (191699007518943).

313331031310113 is a wasteful number, since it uses less digits than its factorization.

313331031310113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218843 (or 218840 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 27.

Adding to 313331031310113 its reverse (311013130133313), we get a palindrome (624344161443426).

The spelling of 313331031310113 in words is "three hundred thirteen trillion, three hundred thirty-one billion, thirty-one million, three hundred ten thousand, one hundred thirteen".