311310331000000 has 392 divisors, whose sum is σ = 799750434938400. Its totient is φ = 120089088000000.

The previous prime is 311310330999949. The next prime is 311310331000003. The reversal of 311310331000000 is 133013113.

It is a super-2 number, since 2×311310331000000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (311310331000003) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 26650994160 + ... + 26651005840.

Almost surely, 2^{311310331000000} 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 311310331000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399875217469200).

311310331000000 is an abundant number, since it is smaller than the sum of its proper divisors (488440103938400).

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

311310331000000 is an frugal number, since it uses more digits than its factorization.

311310331000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12671 (or 12636 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 311310331000000 its reverse (133013113), we get a palindrome (311310464013113).

The spelling of 311310331000000 in words is "three hundred eleven trillion, three hundred ten billion, three hundred thirty-one million", and thus it is an aban number.