2004130135000 has 640 divisors, whose sum is σ = 5641194240000. Its totient is φ = 666792000000.

The previous prime is 2004130134989. The next prime is 2004130135013. The reversal of 2004130135000 is 5310314002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13272384925 + ... + 13272385075.

It is an arithmetic number, because the mean of its divisors is an integer number (8814366000).

Almost surely, 2^{2004130135000} is an apocalyptic number.

2004130135000 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 2004130135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820597120000).

2004130135000 is an abundant number, since it is smaller than the sum of its proper divisors (3637064105000).

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

2004130135000 is a wasteful number, since it uses less digits than its factorization.

2004130135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 2004130135000 its reverse (5310314002), we get a palindrome (2009440449002).

The spelling of 2004130135000 in words is "two trillion, four billion, one hundred thirty million, one hundred thirty-five thousand".