3131113312 has 48 divisors (see below), whose sum is σ = 6550537392. Its totient is φ = 1468149760.

The previous prime is 3131113301. The next prime is 3131113313. The reversal of 3131113312 is 2133111313.

It is a self number, because there is not a number n which added to its sum of digits gives 3131113312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131113313) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 142623 + ... + 163105.

It is an arithmetic number, because the mean of its divisors is an integer number (136469529).

Almost surely, 2^3131113312 is an apocalyptic number.

3131113312 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 3131113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3275268696).

3131113312 is an abundant number, since it is smaller than the sum of its proper divisors (3419424080).

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

3131113312 is a wasteful number, since it uses less digits than its factorization.

3131113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20791 (or 20783 counting only the distinct ones).

The product of its digits is 162, while the sum is 19.

The square root of 3131113312 is about 55956.3518467743. The cubic root of 3131113312 is about 1462.9616045224.

Adding to 3131113312 its reverse (2133111313), we get a palindrome (5264224625).

The spelling of 3131113312 in words is "three billion, one hundred thirty-one million, one hundred thirteen thousand, three hundred twelve".