311312320220 has 96 divisors (see below), whose sum is σ = 735842016000. Its totient is φ = 109648396800.

The previous prime is 311312320201. The next prime is 311312320229. The reversal of 311312320220 is 22023213113.

It is a super-4 number, since 4×311312320220⁴ (a number of 47 digits) contains 4444 as substring.

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 = 311312320192 and 311312320201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311312320229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1129631 + ... + 1377929.

It is an arithmetic number, because the mean of its divisors is an integer number (7665021000).

Almost surely, 2^311312320220 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 311312320220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367921008000).

311312320220 is an abundant number, since it is smaller than the sum of its proper divisors (424529695780).

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

311312320220 is a wasteful number, since it uses less digits than its factorization.

311312320220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248499 (or 248497 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 311312320220 its reverse (22023213113), we get a palindrome (333335533333).

The spelling of 311312320220 in words is "three hundred eleven billion, three hundred twelve million, three hundred twenty thousand, two hundred twenty".