130510332000 has 768 divisors, whose sum is σ = 491934643200. Its totient is φ = 33588172800.

The previous prime is 130510331981. The next prime is 130510332089. The reversal of 130510332000 is 233015031.

130510332000 is a `hidden beast` number, since 130 + 510 + 3 + 3 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 729107911 + ... + 729108089.

It is an arithmetic number, because the mean of its divisors is an integer number (640539900).

Almost surely, 2^130510332000 is an apocalyptic number.

130510332000 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 130510332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245967321600).

130510332000 is an abundant number, since it is smaller than the sum of its proper divisors (361424311200).

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

130510332000 is a wasteful number, since it uses less digits than its factorization.

130510332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 130510332000 its reverse (233015031), we get a palindrome (130743347031).

The spelling of 130510332000 in words is "one hundred thirty billion, five hundred ten million, three hundred thirty-two thousand".