313212312 has 192 divisors, whose sum is σ = 1025589600. Its totient is φ = 88300800.

The previous prime is 313212299. The next prime is 313212323. The reversal of 313212312 is 213212313.

313212312 is a `hidden beast` number, since 31 + 321 + 2 + 312 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1068838 + ... + 1069130.

Almost surely, 2^313212312 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 313212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512794800).

313212312 is an abundant number, since it is smaller than the sum of its proper divisors (712377288).

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

313212312 is a wasteful number, since it uses less digits than its factorization.

313212312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 406 counting only the distinct ones).

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

The square root of 313212312 is about 17697.8052876621. The cubic root of 313212312 is about 679.1196161533.

Adding to 313212312 its reverse (213212313), we get a palindrome (526424625).

Subtracting from 313212312 its reverse (213212313), we obtain a palindrome (99999999).

It can be divided in two parts, 31321 and 2312, that added together give a palindrome (33633).

The spelling of 313212312 in words is "three hundred thirteen million, two hundred twelve thousand, three hundred twelve".