203130000000000 has 1452 divisors, whose sum is σ = 765326107372996. Its totient is φ = 51840000000000.

The previous prime is 203129999999947. The next prime is 203130000000019. The reversal of 203130000000000 is 31302.

It is a happy number.

It can be written as a sum of positive squares in 22 ways, for example, as 101275722925056 + 101854277074944 = 10063584^2 + 10092288^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 203130000000000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 3329999999970 + ... + 3330000000030.

Almost surely, 2^{203130000000000} is an apocalyptic number.

203130000000000 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 203130000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382663053686498).

203130000000000 is an abundant number, since it is smaller than the sum of its proper divisors (562196107372996).

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

203130000000000 is an frugal number, since it uses more digits than its factorization.

203130000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 108 counting only the distinct ones).

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

Adding to 203130000000000 its reverse (31302), we get a palindrome (203130000031302).

The spelling of 203130000000000 in words is "two hundred three trillion, one hundred thirty billion", and thus it is an aban number.