33213312132 has 192 divisors, whose sum is σ = 104508278784. Its totient is φ = 7928386560.

The previous prime is 33213312109. The next prime is 33213312133. The reversal of 33213312132 is 23121331233.

It is a super-2 number, since 2×33213312132² (a number of 22 digits) contains 22 as substring.

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 (33213312133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2792863 + ... + 2804729.

It is an arithmetic number, because the mean of its divisors is an integer number (544313952).

Almost surely, 2^33213312132 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 33213312132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52254139392).

33213312132 is an abundant number, since it is smaller than the sum of its proper divisors (71294966652).

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

33213312132 is a wasteful number, since it uses less digits than its factorization.

33213312132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12138 (or 12136 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

Adding to 33213312132 its reverse (23121331233), we get a palindrome (56334643365).

The spelling of 33213312132 in words is "thirty-three billion, two hundred thirteen million, three hundred twelve thousand, one hundred thirty-two".