333313221132 has 192 divisors, whose sum is σ = 904689408000. Its totient is φ = 106022214144.

The previous prime is 333313221127. The next prime is 333313221151. The reversal of 333313221132 is 231122313333.

333313221132 is a `hidden beast` number, since 3 + 3 + 331 + 322 + 1 + 1 + 3 + 2 = 666.

It is a super-2 number, since 2×333313221132² (a number of 24 digits) contains 22 as substring.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 333313221096 and 333313221105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63985344 + ... + 63990552.

It is an arithmetic number, because the mean of its divisors is an integer number (4711924000).

Almost surely, 2^333313221132 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 333313221132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452344704000).

333313221132 is an abundant number, since it is smaller than the sum of its proper divisors (571376186868).

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

333313221132 is a wasteful number, since it uses less digits than its factorization.

333313221132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5565 (or 5557 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 333313221132 its reverse (231122313333), we get a palindrome (564435534465).

The spelling of 333313221132 in words is "three hundred thirty-three billion, three hundred thirteen million, two hundred twenty-one thousand, one hundred thirty-two".