313013101113 has 20 divisors (see below), whose sum is σ = 467631548340. Its totient is φ = 208655730432.

The previous prime is 313013101109. The next prime is 313013101123. The reversal of 313013101113 is 311101310313.

313013101113 is a `hidden beast` number, since 31 + 301 + 310 + 11 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 165720639744 + 147292461369 = 407088^2 + 383787^2 .

It is not a de Polignac number, because 313013101113 - 2² = 313013101109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313013101123) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 709233 + ... + 1062561.

It is an arithmetic number, because the mean of its divisors is an integer number (23381577417).

Almost surely, 2^313013101113 is an apocalyptic number.

It is an amenable number.

313013101113 is a deficient number, since it is larger than the sum of its proper divisors (154618447227).

313013101113 is a wasteful number, since it uses less digits than its factorization.

313013101113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364278 (or 364269 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 313013101113 its reverse (311101310313), we get a palindrome (624114411426).

The spelling of 313013101113 in words is "three hundred thirteen billion, thirteen million, one hundred one thousand, one hundred thirteen".