33133213120 has 224 divisors, whose sum is σ = 92801212416. Its totient is φ = 11031552000.

The previous prime is 33133213093. The next prime is 33133213151. The reversal of 33133213120 is 2131233133.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×33133213120³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33133213091 and 33133213100.

It is a congruent number.

It is an unprimeable number.

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, 18396220 + ... + 18398020.

Almost surely, 2^33133213120 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 33133213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46400606208).

33133213120 is an abundant number, since it is smaller than the sum of its proper divisors (59667999296).

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

33133213120 is a wasteful number, since it uses less digits than its factorization.

33133213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 33133213120 its reverse (2131233133), we get a palindrome (35264446253).

The spelling of 33133213120 in words is "thirty-three billion, one hundred thirty-three million, two hundred thirteen thousand, one hundred twenty".