130313330030000 has 800 divisors, whose sum is σ = 350404267441536. Its totient is φ = 46640627712000.

The previous prime is 130313330029889. The next prime is 130313330030027. The reversal of 130313330030000 is 30033313031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 146914689557 + ... + 146914690443.

Almost surely, 2^{130313330030000} is an apocalyptic number.

130313330030000 is a gapful number since it is divisible by the number (10) 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 130313330030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175202133720768).

130313330030000 is an abundant number, since it is smaller than the sum of its proper divisors (220090937411536).

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

130313330030000 is a wasteful number, since it uses less digits than its factorization.

130313330030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 20.

Adding to 130313330030000 its reverse (30033313031), we get a palindrome (130343363343031).

The spelling of 130313330030000 in words is "one hundred thirty trillion, three hundred thirteen billion, three hundred thirty million, thirty thousand".