130330002000 has 640 divisors, whose sum is σ = 478415808000. Its totient is φ = 30234624000.

The previous prime is 130330001981. The next prime is 130330002013. The reversal of 130330002000 is 200033031.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 285185772 + ... + 285186228.

It is an arithmetic number, because the mean of its divisors is an integer number (747524700).

Almost surely, 2^130330002000 is an apocalyptic number.

130330002000 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 130330002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239207904000).

130330002000 is an abundant number, since it is smaller than the sum of its proper divisors (348085806000).

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

130330002000 is a wasteful number, since it uses less digits than its factorization.

130330002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 656 counting only the distinct ones).

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

Adding to 130330002000 its reverse (200033031), we get a palindrome (130530035031).

The spelling of 130330002000 in words is "one hundred thirty billion, three hundred thirty million, two thousand".