311131131312 has 80 divisors (see below), whose sum is σ = 828122577120. Its totient is φ = 100610205696.

The previous prime is 311131131287. The next prime is 311131131323. The reversal of 311131131312 is 213131131113.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460663 + ... + 913494.

It is an arithmetic number, because the mean of its divisors is an integer number (10351532214).

Almost surely, 2^311131131312 is an apocalyptic number.

It is an amenable number.

311131131312 is an abundant number, since it is smaller than the sum of its proper divisors (516991445808).

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

311131131312 is a wasteful number, since it uses less digits than its factorization.

311131131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374310 (or 1374304 counting only the distinct ones).

The product of its digits is 162, while the sum is 21.

Adding to 311131131312 its reverse (213131131113), we get a palindrome (524262262425).

The spelling of 311131131312 in words is "three hundred eleven billion, one hundred thirty-one million, one hundred thirty-one thousand, three hundred twelve".