311320111000 has 256 divisors, whose sum is σ = 802234368000. Its totient is φ = 112553971200.

The previous prime is 311320110991. The next prime is 311320111001. The reversal of 311320111000 is 111023113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311320111001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 243408361 + ... + 243409639.

It is an arithmetic number, because the mean of its divisors is an integer number (3133728000).

Almost surely, 2^311320111000 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 311320111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401117184000).

311320111000 is an abundant number, since it is smaller than the sum of its proper divisors (490914257000).

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

311320111000 is a wasteful number, since it uses less digits than its factorization.

311320111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 311320111000 its reverse (111023113), we get a palindrome (311431134113).

The spelling of 311320111000 in words is "three hundred eleven billion, three hundred twenty million, one hundred eleven thousand".