2033130000000 has 1024 divisors, whose sum is σ = 7559136898560. Its totient is φ = 480000000000.

The previous prime is 2033129999987. The next prime is 2033130000007. The reversal of 2033130000000 is 313302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033130000007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20129999950 + ... + 20130000050.

Almost surely, 2^{2033130000000} is an apocalyptic number.

2033130000000 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 2033130000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779568449280).

2033130000000 is an abundant number, since it is smaller than the sum of its proper divisors (5526006898560).

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

2033130000000 is an frugal number, since it uses more digits than its factorization.

2033130000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 2033130000000 its reverse (313302), we get a palindrome (2033130313302).

The spelling of 2033130000000 in words is "two trillion, thirty-three billion, one hundred thirty million", and thus it is an aban number.