32233131333312 has 224 divisors, whose sum is σ = 104969194176000. Its totient is φ = 8500649213952.

The previous prime is 32233131333301. The next prime is 32233131333313. The reversal of 32233131333312 is 21333313133223.

It is a tau number, because it is divible by the number of its divisors (224).

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 (32233131333313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 711070264 + ... + 711115592.

It is an arithmetic number, because the mean of its divisors is an integer number (468612474000).

Almost surely, 2^{32233131333312} is an apocalyptic number.

32233131333312 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 32233131333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52484597088000).

32233131333312 is an abundant number, since it is smaller than the sum of its proper divisors (72736062842688).

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

32233131333312 is a wasteful number, since it uses less digits than its factorization.

32233131333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86063 (or 86053 counting only the distinct ones).

The product of its digits is 52488, while the sum is 33.

Adding to 32233131333312 its reverse (21333313133223), we get a palindrome (53566444466535).

The spelling of 32233131333312 in words is "thirty-two trillion, two hundred thirty-three billion, one hundred thirty-one million, three hundred thirty-three thousand, three hundred twelve".