33133013120 has 64 divisors (see below), whose sum is σ = 79272311040. Its totient is φ = 13242547200.

The previous prime is 33133013119. The next prime is 33133013159. The reversal of 33133013120 is 2131033133.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 33133013092 and 33133013101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 800945 + ... + 841295.

It is an arithmetic number, because the mean of its divisors is an integer number (1238629860).

Almost surely, 2^33133013120 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 33133013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39636155520).

33133013120 is an abundant number, since it is smaller than the sum of its proper divisors (46139297920).

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

33133013120 is a wasteful number, since it uses less digits than its factorization.

33133013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41653 (or 41641 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 33133013120 its reverse (2131033133), we get a palindrome (35264046253).

It can be divided in two parts, 33133013 and 120, that added together give a palindrome (33133133).

The spelling of 33133013120 in words is "thirty-three billion, one hundred thirty-three million, thirteen thousand, one hundred twenty".