3221133311032 has 128 divisors (see below), whose sum is σ = 7580824473600. Its totient is φ = 1249141690368.

The previous prime is 3221133311029. The next prime is 3221133311069. The reversal of 3221133311032 is 2301133311223.

It is a junction number, because it is equal to n+sod(n) for n = 3221133310988 and 3221133311006.

It is a congruent number.

It is an unprimeable number.

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, 15055833 + ... + 15268279.

It is an arithmetic number, because the mean of its divisors is an integer number (59225191200).

Almost surely, 2^{3221133311032} 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 3221133311032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790412236800).

3221133311032 is an abundant number, since it is smaller than the sum of its proper divisors (4359691162568).

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

3221133311032 is a wasteful number, since it uses less digits than its factorization.

3221133311032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212885 (or 212881 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 3221133311032 its reverse (2301133311223), we get a palindrome (5522266622255).

The spelling of 3221133311032 in words is "three trillion, two hundred twenty-one billion, one hundred thirty-three million, three hundred eleven thousand, thirty-two".