311322310010112 has 144 divisors (see below), whose sum is σ = 832013837665920. Its totient is φ = 103343576064000.

The previous prime is 311322310010093. The next prime is 311322310010113. The reversal of 311322310010112 is 211010013223113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311322310010113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254718862 + ... + 255938162.

It is an arithmetic number, because the mean of its divisors is an integer number (5777873872680).

Almost surely, 2^{311322310010112} is an apocalyptic number.

311322310010112 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 311322310010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416006918832960).

311322310010112 is an abundant number, since it is smaller than the sum of its proper divisors (520691527655808).

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

311322310010112 is a wasteful number, since it uses less digits than its factorization.

311322310010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220700 (or 1220686 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 311322310010112 its reverse (211010013223113), we get a palindrome (522332323233225).

The spelling of 311322310010112 in words is "three hundred eleven trillion, three hundred twenty-two billion, three hundred ten million, ten thousand, one hundred twelve".