313213312 has 32 divisors (see below), whose sum is σ = 626834880. Its totient is φ = 155890176.

The previous prime is 313213301. The next prime is 313213357. The reversal of 313213312 is 213312313.

313213312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 313213312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23058 + ... + 34030.

It is an arithmetic number, because the mean of its divisors is an integer number (19588590).

Almost surely, 2^313213312 is an apocalyptic number.

313213312 is a gapful number since it is divisible by the number (32) 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 313213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313417440).

313213312 is an abundant number, since it is smaller than the sum of its proper divisors (313621568).

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

313213312 is a wasteful number, since it uses less digits than its factorization.

313213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11210 (or 11198 counting only the distinct ones).

The product of its digits is 324, while the sum is 19.

The square root of 313213312 is about 17697.8335397302. The cubic root of 313213312 is about 679.1203388994.

Adding to 313213312 its reverse (213312313), we get a palindrome (526525625).

Subtracting from 313213312 its reverse (213312313), we obtain a palindrome (99900999).

The spelling of 313213312 in words is "three hundred thirteen million, two hundred thirteen thousand, three hundred twelve".