313444120 has 64 divisors (see below), whose sum is σ = 783937440. Its totient is φ = 111820800.

The previous prime is 313444099. The next prime is 313444123. The reversal of 313444120 is 21444313.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 313444091 and 313444100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313444123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16600 + ... + 30040.

Almost surely, 2^313444120 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 313444120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391968720).

313444120 is an abundant number, since it is smaller than the sum of its proper divisors (470493320).

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

313444120 is a wasteful number, since it uses less digits than its factorization.

313444120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13516 (or 13512 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 313444120 is about 17704.3531370112. The cubic root of 313444120 is about 679.2871133356.

Adding to 313444120 its reverse (21444313), we get a palindrome (334888433).

The spelling of 313444120 in words is "three hundred thirteen million, four hundred forty-four thousand, one hundred twenty".