311312424213112 has 128 divisors (see below), whose sum is σ = 676863469762560. Its totient is φ = 131469975383040.

The previous prime is 311312424213067. The next prime is 311312424213143. The reversal of 311312424213112 is 211312424213113.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 27139077537 + ... + 27139089007.

It is an arithmetic number, because the mean of its divisors is an integer number (5287995857520).

Almost surely, 2^{311312424213112} 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 311312424213112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338431734881280).

311312424213112 is an abundant number, since it is smaller than the sum of its proper divisors (365551045549448).

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

311312424213112 is a wasteful number, since it uses less digits than its factorization.

311312424213112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17133 (or 17129 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

Adding to 311312424213112 its reverse (211312424213113), we get a palindrome (522624848426225).

Subtracting from 311312424213112 its reverse (211312424213113), we obtain a palindrome (99999999999999).

The spelling of 311312424213112 in words is "three hundred eleven trillion, three hundred twelve billion, four hundred twenty-four million, two hundred thirteen thousand, one hundred twelve".