33120130100 has 72 divisors (see below), whose sum is σ = 73108424928. Its totient is φ = 13020796800.

The previous prime is 33120130037. The next prime is 33120130123. The reversal of 33120130100 is 103102133.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3083339 + ... + 3094061.

Almost surely, 2^33120130100 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 33120130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36554212464).

33120130100 is an abundant number, since it is smaller than the sum of its proper divisors (39988294828).

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

33120130100 is a wasteful number, since it uses less digits than its factorization.

33120130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11265 (or 11258 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 33120130100 its reverse (103102133), we get a palindrome (33223232233).

The spelling of 33120130100 in words is "thirty-three billion, one hundred twenty million, one hundred thirty thousand, one hundred".