130200100221321 has 48 divisors (see below), whose sum is σ = 208879900816320. Its totient is φ = 80118577543680.

The previous prime is 130200100221241. The next prime is 130200100221343. The reversal of 130200100221321 is 123122001002031.

130200100221321 is a `hidden beast` number, since 1 + 3 + 0 + 20 + 0 + 100 + 221 + 321 = 666.

It is not a de Polignac number, because 130200100221321 - 2¹⁵ = 130200100188553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130200100221294 and 130200100221303.

It is not an unprimeable number, because it can be changed into a prime (130200100221221) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 80240170 + ... + 81846716.

It is an arithmetic number, because the mean of its divisors is an integer number (4351664600340).

Almost surely, 2^{130200100221321} is an apocalyptic number.

It is an amenable number.

130200100221321 is a deficient number, since it is larger than the sum of its proper divisors (78679800594999).

130200100221321 is a wasteful number, since it uses less digits than its factorization.

130200100221321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624343 (or 1624324 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 130200100221321 its reverse (123122001002031), we get a palindrome (253322101223352).

The spelling of 130200100221321 in words is "one hundred thirty trillion, two hundred billion, one hundred million, two hundred twenty-one thousand, three hundred twenty-one".