3221131122333 has 48 divisors (see below), whose sum is σ = 4994135939520. Its totient is φ = 2072256286464.

The previous prime is 3221131122301. The next prime is 3221131122361. The reversal of 3221131122333 is 3332211311223.

3221131122333 is a `hidden beast` number, since 3 + 2 + 2 + 11 + 311 + 2 + 2 + 333 = 666.

It is not a de Polignac number, because 3221131122333 - 2⁵ = 3221131122301 is a prime.

It is a super-2 number, since 2×3221131122333² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3221131122297 and 3221131122306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3221131123333) 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, 13077010 + ... + 13321052.

It is an arithmetic number, because the mean of its divisors is an integer number (104044498740).

Almost surely, 2^{3221131122333} is an apocalyptic number.

It is an amenable number.

3221131122333 is a deficient number, since it is larger than the sum of its proper divisors (1773004817187).

3221131122333 is a wasteful number, since it uses less digits than its factorization.

3221131122333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245960 (or 245948 counting only the distinct ones).

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

Adding to 3221131122333 its reverse (3332211311223), we get a palindrome (6553342433556).

The spelling of 3221131122333 in words is "three trillion, two hundred twenty-one billion, one hundred thirty-one million, one hundred twenty-two thousand, three hundred thirty-three".