33313321332 has 90 divisors (see below), whose sum is σ = 89495007602. Its totient is φ = 10797839136.

The previous prime is 33313321313. The next prime is 33313321361. The reversal of 33313321332 is 23312331333.

33313321332 is a `hidden beast` number, since 3 + 3 + 3 + 1 + 3 + 321 + 332 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32412961296 + 900360036 = 180036^2 + 30006^2 .

It is a super-2 number, since 2×33313321332² (a number of 22 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 = 33313321296 and 33313321305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 19983163 + ... + 19984829.

Almost surely, 2^33313321332 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 33313321332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44747503801).

33313321332 is an abundant number, since it is smaller than the sum of its proper divisors (56181686270).

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

33313321332 is an equidigital number, since it uses as much as digits as its factorization.

33313321332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 1709 counting only the distinct ones).

The product of its digits is 8748, while the sum is 27.

Adding to 33313321332 its reverse (23312331333), we get a palindrome (56625652665).

The spelling of 33313321332 in words is "thirty-three billion, three hundred thirteen million, three hundred twenty-one thousand, three hundred thirty-two".