313132320 has 144 divisors (see below), whose sum is σ = 1079645112. Its totient is φ = 82636800.

The previous prime is 313132319. The next prime is 313132387. The reversal of 313132320 is 23231313.

313132320 is a `hidden beast` number, since 31 + 313 + 2 + 320 = 666.

313132320 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 4 ways, for example, as 259725456 + 53406864 = 16116^2 + 7308^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 313132293 and 313132302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144364 + ... + 146516.

Almost surely, 2^313132320 is an apocalyptic number.

313132320 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 313132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539822556).

313132320 is an abundant number, since it is smaller than the sum of its proper divisors (766512792).

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

313132320 is a wasteful number, since it uses less digits than its factorization.

313132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 313132320 is about 17695.5452021123. The cubic root of 313132320 is about 679.0617972665.

Adding to 313132320 its reverse (23231313), we get a palindrome (336363633).

It can be divided in two parts, 31313 and 2320, that added together give a palindrome (33633).

The spelling of 313132320 in words is "three hundred thirteen million, one hundred thirty-two thousand, three hundred twenty".