3133313112312 has 96 divisors (see below), whose sum is σ = 8712059035680. Its totient is φ = 1016733496320.

The previous prime is 3133313112311. The next prime is 3133313112343. The reversal of 3133313112312 is 2132113133313.

3133313112312 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 31 + 311 + 2 + 312 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133313112311) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 187773 + ... + 2510355.

It is an arithmetic number, because the mean of its divisors is an integer number (90750614955).

Almost surely, 2^{3133313112312} 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 3133313112312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4356029517840).

3133313112312 is an abundant number, since it is smaller than the sum of its proper divisors (5578745923368).

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

3133313112312 is a wasteful number, since it uses less digits than its factorization.

3133313112312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323093 (or 2323086 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

Adding to 3133313112312 its reverse (2132113133313), we get a palindrome (5265426245625).

The spelling of 3133313112312 in words is "three trillion, one hundred thirty-three billion, three hundred thirteen million, one hundred twelve thousand, three hundred twelve".