311334500000 has 84 divisors (see below), whose sum is σ = 766166169510. Its totient is φ = 124533600000.

The previous prime is 311334499999. The next prime is 311334500003. The reversal of 311334500000 is 5433113.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 125687266576 + 185647233424 = 354524^2 + 430868^2 .

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

It is not an unprimeable number, because it can be changed into a prime (311334500003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 188666 + ... + 811334.

Almost surely, 2^311334500000 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 311334500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383083084755).

311334500000 is an abundant number, since it is smaller than the sum of its proper divisors (454831669510).

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

311334500000 is an frugal number, since it uses more digits than its factorization.

311334500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622709 (or 622676 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 311334500000 its reverse (5433113), we get a palindrome (311339933113).

The spelling of 311334500000 in words is "three hundred eleven billion, three hundred thirty-four million, five hundred thousand".