313443120 has 80 divisors (see below), whose sum is σ = 974125152. Its totient is φ = 83374080.

The previous prime is 313443101. The next prime is 313443131. The reversal of 313443120 is 21344313.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109224 + ... + 112056.

Almost surely, 2^313443120 is an apocalyptic number.

313443120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313443120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487062576).

313443120 is an abundant number, since it is smaller than the sum of its proper divisors (660682032).

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

313443120 is a wasteful number, since it uses less digits than its factorization.

313443120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 313443120 is about 17704.3248953469. The cubic root of 313443120 is about 679.2863909444.

Adding to 313443120 its reverse (21344313), we get a palindrome (334787433).

The spelling of 313443120 in words is "three hundred thirteen million, four hundred forty-three thousand, one hundred twenty".