33320013120 has 224 divisors, whose sum is σ = 118712528640. Its totient is φ = 8797132800.

The previous prime is 33320013071. The next prime is 33320013121. The reversal of 33320013120 is 2131002333.

33320013120 is a `hidden beast` number, since 33 + 320 + 0 + 1 + 312 + 0 = 666.

It is a super-2 number, since 2×33320013120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 33320013093 and 33320013102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33320013121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 853549 + ... + 891731.

Almost surely, 2^33320013120 is an apocalyptic number.

33320013120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33320013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59356264320).

33320013120 is an abundant number, since it is smaller than the sum of its proper divisors (85392515520).

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

33320013120 is a wasteful number, since it uses less digits than its factorization.

33320013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38310 (or 38294 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 33320013120 its reverse (2131002333), we get a palindrome (35451015453).

The spelling of 33320013120 in words is "thirty-three billion, three hundred twenty million, thirteen thousand, one hundred twenty".