130013223100200 has 576 divisors, whose sum is σ = 514941862593600. Its totient is φ = 29052479692800.

The previous prime is 130013223100177. The next prime is 130013223100331. The reversal of 130013223100200 is 2001322310031.

130013223100200 is a `hidden beast` number, since 1 + 30 + 0 + 1 + 322 + 310 + 0 + 2 + 0 + 0 = 666.

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

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 143 ways as a sum of consecutive naturals, for example, 9249184 + ... + 18589616.

It is an arithmetic number, because the mean of its divisors is an integer number (893996289225).

Almost surely, 2^{130013223100200} is an apocalyptic number.

130013223100200 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 130013223100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257470931296800).

130013223100200 is an abundant number, since it is smaller than the sum of its proper divisors (384928639493400).

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

130013223100200 is a wasteful number, since it uses less digits than its factorization.

130013223100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9340522 (or 9340510 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130013223100200 its reverse (2001322310031), we get a palindrome (132014545410231).

The spelling of 130013223100200 in words is "one hundred thirty trillion, thirteen billion, two hundred twenty-three million, one hundred thousand, two hundred".