32331321213312 has 256 divisors, whose sum is σ = 93982621328640. Its totient is φ = 9766517760000.

The previous prime is 32331321213311. The next prime is 32331321213313. The reversal of 32331321213312 is 21331212313323.

It is an interprime number because it is at equal distance from previous prime (32331321213311) and next prime (32331321213313).

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

It is a self number, because there is not a number n which added to its sum of digits gives 32331321213312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32331321213311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5011827687 + ... + 5011834137.

It is an arithmetic number, because the mean of its divisors is an integer number (367119614565).

Almost surely, 2^{32331321213312} is an apocalyptic number.

32331321213312 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 32331321213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46991310664320).

32331321213312 is an abundant number, since it is smaller than the sum of its proper divisors (61651300115328).

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

32331321213312 is a wasteful number, since it uses less digits than its factorization.

32331321213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10033 (or 10021 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

Adding to 32331321213312 its reverse (21331212313323), we get a palindrome (53662533526635).

It can be divided in two parts, 3233132 and 1213312, that added together give a palindrome (4446444).

The spelling of 32331321213312 in words is "thirty-two trillion, three hundred thirty-one billion, three hundred twenty-one million, two hundred thirteen thousand, three hundred twelve".