311313201310112 has 96 divisors (see below), whose sum is σ = 655887763722240. Its totient is φ = 144935424000000.

The previous prime is 311313201310063. The next prime is 311313201310207. The reversal of 311313201310112 is 211013102313113.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139200737 + ... + 141419487.

It is an arithmetic number, because the mean of its divisors is an integer number (6832164205440).

Almost surely, 2^{311313201310112} is an apocalyptic number.

311313201310112 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 311313201310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327943881861120).

311313201310112 is an abundant number, since it is smaller than the sum of its proper divisors (344574562412128).

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

311313201310112 is a wasteful number, since it uses less digits than its factorization.

311313201310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221534 (or 2221526 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 311313201310112 its reverse (211013102313113), we get a palindrome (522326303623225).

The spelling of 311313201310112 in words is "three hundred eleven trillion, three hundred thirteen billion, two hundred one million, three hundred ten thousand, one hundred twelve".