311313312 has 72 divisors (see below), whose sum is σ = 888058080. Its totient is φ = 103447680.

The previous prime is 311313307. The next prime is 311313319. The reversal of 311313312 is 213313113.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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.

It is not an unprimeable number, because it can be changed into a prime (311313319) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 101887 + ... + 104897.

It is an arithmetic number, because the mean of its divisors is an integer number (12334140).

Almost surely, 2^311313312 is an apocalyptic number.

311313312 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 311313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444029040).

311313312 is an abundant number, since it is smaller than the sum of its proper divisors (576744768).

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

311313312 is a wasteful number, since it uses less digits than its factorization.

311313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386 (or 3375 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 311313312 is about 17644.0729991689. The cubic root of 311313312 is about 677.7443367378.

Adding to 311313312 its reverse (213313113), we get a palindrome (524626425).

It can be divided in two parts, 31131 and 3312, that added together give a palindrome (34443).

The spelling of 311313312 in words is "three hundred eleven million, three hundred thirteen thousand, three hundred twelve".