2010133120 has 128 divisors (see below), whose sum is σ = 5155488000. Its totient is φ = 747122688.

The previous prime is 2010133109. The next prime is 2010133133. The reversal of 2010133120 is 213310102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2010133120.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 642921 + ... + 646039.

It is an arithmetic number, because the mean of its divisors is an integer number (40277250).

Almost surely, 2^2010133120 is an apocalyptic number.

2010133120 is a gapful number since it is divisible by the number (20) 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 2010133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577744000).

2010133120 is an abundant number, since it is smaller than the sum of its proper divisors (3145354880).

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

2010133120 is a wasteful number, since it uses less digits than its factorization.

2010133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2010133120 is about 44834.5081382633. The cubic root of 2010133120 is about 1262.0452882617.

Adding to 2010133120 its reverse (213310102), we get a palindrome (2223443222).

The spelling of 2010133120 in words is "two billion, ten million, one hundred thirty-three thousand, one hundred twenty".