33131022132 has 96 divisors (see below), whose sum is σ = 84862512000. Its totient is φ = 9997811712.

The previous prime is 33131022121. The next prime is 33131022137. The reversal of 33131022132 is 23122013133.

It is a super-2 number, since 2×33131022132² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33131022099 and 33131022108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33131022137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4128588 + ... + 4136604.

It is an arithmetic number, because the mean of its divisors is an integer number (883984500).

Almost surely, 2^33131022132 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 33131022132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42431256000).

33131022132 is an abundant number, since it is smaller than the sum of its proper divisors (51731489868).

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

33131022132 is a wasteful number, since it uses less digits than its factorization.

33131022132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8545 (or 8543 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 33131022132 its reverse (23122013133), we get a palindrome (56253035265).

The spelling of 33131022132 in words is "thirty-three billion, one hundred thirty-one million, twenty-two thousand, one hundred thirty-two".