313110211120 has 160 divisors (see below), whose sum is σ = 871388513280. Its totient is φ = 102301731840.

The previous prime is 313110211093. The next prime is 313110211151. The reversal of 313110211120 is 21112011313.

It is a happy number.

It is a super-2 number, since 2×313110211120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 313110211094 and 313110211103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3419535 + ... + 3509905.

It is an arithmetic number, because the mean of its divisors is an integer number (5446178208).

Almost surely, 2^313110211120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313110211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435694256640).

313110211120 is an abundant number, since it is smaller than the sum of its proper divisors (558278302160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313110211120 is a wasteful number, since it uses less digits than its factorization.

313110211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90683 (or 90677 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 313110211120 its reverse (21112011313), we get a palindrome (334222222433).

The spelling of 313110211120 in words is "three hundred thirteen billion, one hundred ten million, two hundred eleven thousand, one hundred twenty".