311014000000 has 448 divisors, whose sum is σ = 861570221760. Its totient is φ = 110880000000.

The previous prime is 311013999991. The next prime is 311014000001. The reversal of 311014000000 is 410113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311014000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1473999895 + ... + 1474000105.

Almost surely, 2^311014000000 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 311014000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430785110880).

311014000000 is an abundant number, since it is smaller than the sum of its proper divisors (550556221760).

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

311014000000 is an frugal number, since it uses more digits than its factorization.

311014000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 311014000000 its reverse (410113), we get a palindrome (311014410113).

The spelling of 311014000000 in words is "three hundred eleven billion, fourteen million", and thus it is an aban number.