3313131312 has 80 divisors (see below), whose sum is σ = 8723191680. Its totient is φ = 1083265536.

The previous prime is 3313131287. The next prime is 3313131319. The reversal of 3313131312 is 2131313133.

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

It is not an unprimeable number, because it can be changed into a prime (3313131319) 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 15 ways as a sum of consecutive naturals, for example, 1661388 + ... + 1663380.

It is an arithmetic number, because the mean of its divisors is an integer number (109039896).

Almost surely, 2^3313131312 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 3313131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4361595840).

3313131312 is an abundant number, since it is smaller than the sum of its proper divisors (5410060368).

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

3313131312 is a wasteful number, since it uses less digits than its factorization.

3313131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650 (or 2644 counting only the distinct ones).

The product of its digits is 486, while the sum is 21.

The square root of 3313131312 is about 57559.8063930031. The cubic root of 3313131312 is about 1490.7776839044. Note that the first 3 decimals are identical.

Adding to 3313131312 its reverse (2131313133), we get a palindrome (5444444445).

It can be divided in two parts, 331313131 and 2, that added together give a palindrome (331313133).

The spelling of 3313131312 in words is "three billion, three hundred thirteen million, one hundred thirty-one thousand, three hundred twelve".