313114320 has 60 divisors (see below), whose sum is σ = 1051544676. Its totient is φ = 83496960.

The previous prime is 313114303. The next prime is 313114327. The reversal of 313114320 is 23411313.

313114320 is a `hidden beast` number, since 31 + 311 + 4 + 320 = 666.

313114320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 180956304 + 132158016 = 13452^2 + 11496^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 313114293 and 313114302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313114327) 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, 216721 + ... + 218160.

Almost surely, 2^313114320 is an apocalyptic number.

313114320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313114320 is an abundant number, since it is smaller than the sum of its proper divisors (738430356).

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

313114320 is a wasteful number, since it uses less digits than its factorization.

313114320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434900 (or 434891 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 313114320 is about 17695.0365922199. The cubic root of 313114320 is about 679.0487853588.

Adding to 313114320 its reverse (23411313), we get a palindrome (336525633).

The spelling of 313114320 in words is "three hundred thirteen million, one hundred fourteen thousand, three hundred twenty".