313120 has 48 divisors (see below), whose sum is σ = 786240. Its totient is φ = 117504.

The previous prime is 313109. The next prime is 313127. The reversal of 313120 is 21313.

313120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 313097 and 313106.

It is not an unprimeable number, because it can be changed into a prime (313127) by changing a digit.

313120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2989 + ... + 3091.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2³¹³¹²⁰ 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 313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393120).

313120 is an abundant number, since it is smaller than the sum of its proper divisors (473120).

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

313120 is a wasteful number, since it uses less digits than its factorization.

313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 313120 is about 559.5712644516. The cubic root of 313120 is about 67.9052891392.

Adding to 313120 its reverse (21313), we get a palindrome (334433).

The spelling of 313120 in words is "three hundred thirteen thousand, one hundred twenty".