313213320 has 96 divisors (see below), whose sum is σ = 1163373120. Its totient is φ = 71591040.

The previous prime is 313213301. The next prime is 313213357. The reversal of 313213320 is 23312313.

313213320 is a `hidden beast` number, since 313 + 21 + 332 + 0 = 666.

313213320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 313213293 and 313213302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59626 + ... + 64665.

It is an arithmetic number, because the mean of its divisors is an integer number (12118470).

Almost surely, 2^313213320 is an apocalyptic number.

313213320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313213320 is an abundant number, since it is smaller than the sum of its proper divisors (850159800).

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

313213320 is a wasteful number, since it uses less digits than its factorization.

313213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124315 (or 124308 counting only the distinct ones).

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

The square root of 313213320 is about 17697.8337657466. The cubic root of 313213320 is about 679.1203446814.

Adding to 313213320 its reverse (23312313), we get a palindrome (336525633).

The spelling of 313213320 in words is "three hundred thirteen million, two hundred thirteen thousand, three hundred twenty".