33130123133120 has 224 divisors, whose sum is σ = 87796253160000. Its totient is φ = 11829875097600.

The previous prime is 33130123133069. The next prime is 33130123133141. The reversal of 33130123133120 is 2133132103133.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 33130123133120.

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 31 ways as a sum of consecutive naturals, for example, 17150006 + ... + 18983754.

It is an arithmetic number, because the mean of its divisors is an integer number (391947558750).

Almost surely, 2^{33130123133120} 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 33130123133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43898126580000).

33130123133120 is an abundant number, since it is smaller than the sum of its proper divisors (54666130026880).

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

33130123133120 is a wasteful number, since it uses less digits than its factorization.

33130123133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833923 (or 1833913 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 33130123133120 its reverse (2133132103133), we get a palindrome (35263255236253).

The spelling of 33130123133120 in words is "thirty-three trillion, one hundred thirty billion, one hundred twenty-three million, one hundred thirty-three thousand, one hundred twenty".