311343041233312 has 192 divisors, whose sum is σ = 730889250739200. Its totient is φ = 128891919974400.

The previous prime is 311343041233207. The next prime is 311343041233313. The reversal of 311343041233312 is 213332140343113.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (311343041233313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6603362314 + ... + 6603409462.

It is an arithmetic number, because the mean of its divisors is an integer number (3806714847600).

Almost surely, 2^{311343041233312} is an apocalyptic number.

311343041233312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311343041233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365444625369600).

311343041233312 is an abundant number, since it is smaller than the sum of its proper divisors (419546209505888).

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

311343041233312 is a wasteful number, since it uses less digits than its factorization.

311343041233312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82815 (or 82807 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 34.

Adding to 311343041233312 its reverse (213332140343113), we get a palindrome (524675181576425).

The spelling of 311343041233312 in words is "three hundred eleven trillion, three hundred forty-three billion, forty-one million, two hundred thirty-three thousand, three hundred twelve".