313112120 has 128 divisors (see below), whose sum is σ = 777288960. Its totient is φ = 113049600.

The previous prime is 313112113. The next prime is 313112123. The reversal of 313112120 is 21211313.

313112120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 313112095 and 313112104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313112123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3100070 + ... + 3100170.

It is an arithmetic number, because the mean of its divisors is an integer number (6072570).

Almost surely, 2^313112120 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 313112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388644480).

313112120 is an abundant number, since it is smaller than the sum of its proper divisors (464176840).

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

313112120 is a wasteful number, since it uses less digits than its factorization.

313112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 313112120 is about 17694.9744277860. The cubic root of 313112120 is about 679.0471949803.

Adding to 313112120 its reverse (21211313), we get a palindrome (334323433).

It can be divided in two parts, 3131 and 12120, that added together give a palindrome (15251).

The spelling of 313112120 in words is "three hundred thirteen million, one hundred twelve thousand, one hundred twenty".