3133212321312 has 288 divisors, whose sum is σ = 10021871059200. Its totient is φ = 922686971904.

The previous prime is 3133212321287. The next prime is 3133212321319. The reversal of 3133212321312 is 2131232123313.

3133212321312 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 21 + 2 + 321 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (3133212321319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9985113 + ... + 10294119.

It is an arithmetic number, because the mean of its divisors is an integer number (34798163400).

Almost surely, 2^{3133212321312} is an apocalyptic number.

3133212321312 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 3133212321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5010935529600).

3133212321312 is an abundant number, since it is smaller than the sum of its proper divisors (6888658737888).

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

3133212321312 is a wasteful number, since it uses less digits than its factorization.

3133212321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309168 (or 309157 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 3133212321312 its reverse (2131232123313), we get a palindrome (5264444444625).

The spelling of 3133212321312 in words is "three trillion, one hundred thirty-three billion, two hundred twelve million, three hundred twenty-one thousand, three hundred twelve".