2010133130032 has 80 divisors (see below), whose sum is σ = 4353651750240. Its totient is φ = 893498425344.

The previous prime is 2010133130011. The next prime is 2010133130039. The reversal of 2010133130032 is 2300313310102.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 2010133129991 and 2010133130009.

It is not an unprimeable number, because it can be changed into a prime (2010133130039) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1164528 + ... + 2318704.

It is an arithmetic number, because the mean of its divisors is an integer number (54420646878).

Almost surely, 2^{2010133130032} 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 2010133130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176825875120).

2010133130032 is an abundant number, since it is smaller than the sum of its proper divisors (2343518620208).

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

2010133130032 is a wasteful number, since it uses less digits than its factorization.

2010133130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154558 (or 1154552 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 2010133130032 its reverse (2300313310102), we get a palindrome (4310446440134).

The spelling of 2010133130032 in words is "two trillion, ten billion, one hundred thirty-three million, one hundred thirty thousand, thirty-two".