2003130000 has 250 divisors, whose sum is σ = 7247659694. Its totient is φ = 533952000.

The previous prime is 2003129993. The next prime is 2003130037. The reversal of 2003130000 is 313002.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 544195584 + 1458934416 = 23328^2 + 38196^2 .

It is a tau number, because it is divible by the number of its divisors (250).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 808764 + ... + 811236.

Almost surely, 2^2003130000 is an apocalyptic number.

2003130000 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 2003130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623829847).

2003130000 is an abundant number, since it is smaller than the sum of its proper divisors (5244529694).

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

2003130000 is an equidigital number, since it uses as much as digits as its factorization.

2003130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 2003130000 is about 44756.3403329629. The cubic root of 2003130000 is about 1260.5779661370.

Adding to 2003130000 its reverse (313002), we get a palindrome (2003443002).

The spelling of 2003130000 in words is "two billion, three million, one hundred thirty thousand".