311320302320 has 160 divisors (see below), whose sum is σ = 771694983360. Its totient is φ = 116800020480.

The previous prime is 311320302313. The next prime is 311320302343. The reversal of 311320302320 is 23203023113.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 311320302292 and 311320302301.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 130095044 + ... + 130097436.

It is an arithmetic number, because the mean of its divisors is an integer number (4823093646).

Almost surely, 2^311320302320 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 311320302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385847491680).

311320302320 is an abundant number, since it is smaller than the sum of its proper divisors (460374681040).

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

311320302320 is a wasteful number, since it uses less digits than its factorization.

311320302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 311320302320 its reverse (23203023113), we get a palindrome (334523325433).

The spelling of 311320302320 in words is "three hundred eleven billion, three hundred twenty million, three hundred two thousand, three hundred twenty".