311313110304 has 96 divisors (see below), whose sum is σ = 934475633280. Its totient is φ = 88895526912.

The previous prime is 311313110281. The next prime is 311313110333. The reversal of 311313110304 is 403011313113.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1045882 + ... + 1310150.

It is an arithmetic number, because the mean of its divisors is an integer number (9734121180).

Almost surely, 2^311313110304 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 311313110304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467237816640).

311313110304 is an abundant number, since it is smaller than the sum of its proper divisors (623162522976).

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

311313110304 is a wasteful number, since it uses less digits than its factorization.

311313110304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266042 (or 266034 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 311313110304 its reverse (403011313113), we get a palindrome (714324423417).

The spelling of 311313110304 in words is "three hundred eleven billion, three hundred thirteen million, one hundred ten thousand, three hundred four".