3131344431312 has 240 divisors, whose sum is σ = 8763039129600. Its totient is φ = 960842995200.

The previous prime is 3131344431269. The next prime is 3131344431389. The reversal of 3131344431312 is 2131344431313.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1437054639 + ... + 1437056817.

It is an arithmetic number, because the mean of its divisors is an integer number (36512663040).

Almost surely, 2^{3131344431312} 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 3131344431312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4381519564800).

3131344431312 is an abundant number, since it is smaller than the sum of its proper divisors (5631694698288).

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

3131344431312 is a wasteful number, since it uses less digits than its factorization.

3131344431312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3391 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

Adding to 3131344431312 its reverse (2131344431313), we get a palindrome (5262688862625).

Subtracting from 3131344431312 its reverse (2131344431313), we obtain a palindrome (999999999999).

It can be divided in two parts, 3131 and 344431312, that added together give a palindrome (344434443).

The spelling of 3131344431312 in words is "three trillion, one hundred thirty-one billion, three hundred forty-four million, four hundred thirty-one thousand, three hundred twelve".