130320221032320 has 256 divisors, whose sum is σ = 453400258752000. Its totient is φ = 31575957626880.

The previous prime is 130320221032301. The next prime is 130320221032423. The reversal of 130320221032320 is 23230122023031.

130320221032320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 38042526 + ... + 41326434.

It is an arithmetic number, because the mean of its divisors is an integer number (1771094760750).

Almost surely, 2^{130320221032320} is an apocalyptic number.

130320221032320 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 130320221032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226700129376000).

130320221032320 is an abundant number, since it is smaller than the sum of its proper divisors (323080037719680).

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

130320221032320 is a wasteful number, since it uses less digits than its factorization.

130320221032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3285821 (or 3285809 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 130320221032320 its reverse (23230122023031), we get a palindrome (153550343055351).

The spelling of 130320221032320 in words is "one hundred thirty trillion, three hundred twenty billion, two hundred twenty-one million, thirty-two thousand, three hundred twenty".