313010120 has 48 divisors (see below), whose sum is σ = 748165140. Its totient is φ = 117834752.

The previous prime is 313010107. The next prime is 313010129. The reversal of 313010120 is 21010313.

It can be written as a sum of positive squares in 6 ways, for example, as 270734116 + 42276004 = 16454^2 + 6502^2 .

It is not an unprimeable number, because it can be changed into a prime (313010129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1979 + ... + 25098.

Almost surely, 2^313010120 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 313010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374082570).

313010120 is an abundant number, since it is smaller than the sum of its proper divisors (435155020).

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

313010120 is a wasteful number, since it uses less digits than its factorization.

313010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27122 (or 27101 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 313010120 is about 17692.0920187523. The cubic root of 313010120 is about 678.9734510700.

Adding to 313010120 its reverse (21010313), we get a palindrome (334020433).

The spelling of 313010120 in words is "three hundred thirteen million, ten thousand, one hundred twenty".