311301312 has 224 divisors, whose sum is σ = 999744000. Its totient is φ = 85349376.

The previous prime is 311301311. The next prime is 311301323. The reversal of 311301312 is 213103113.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 311301291 and 311301300.

It is not an unprimeable number, because it can be changed into a prime (311301311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1909743 + ... + 1909905.

Almost surely, 2^311301312 is an apocalyptic number.

311301312 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 311301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499872000).

311301312 is an abundant number, since it is smaller than the sum of its proper divisors (688442688).

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

311301312 is a wasteful number, since it uses less digits than its factorization.

311301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 311301312 is about 17643.7329383552. The cubic root of 311301312 is about 677.7356284299.

Adding to 311301312 its reverse (213103113), we get a palindrome (524404425).

The spelling of 311301312 in words is "three hundred eleven million, three hundred one thousand, three hundred twelve".