130320332001300 has 288 divisors, whose sum is σ = 434943054751744. Its totient is φ = 29510879040000.

The previous prime is 130320332001281. The next prime is 130320332001313. The reversal of 130320332001300 is 3100233023031.

130320332001300 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 (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117727395 + ... + 118829205.

Almost surely, 2^{130320332001300} is an apocalyptic number.

130320332001300 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 130320332001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217471527375872).

130320332001300 is an abundant number, since it is smaller than the sum of its proper divisors (304622722750444).

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

130320332001300 is a wasteful number, since it uses less digits than its factorization.

130320332001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102359 (or 1102352 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 130320332001300 its reverse (3100233023031), we get a palindrome (133420565024331).

The spelling of 130320332001300 in words is "one hundred thirty trillion, three hundred twenty billion, three hundred thirty-two million, one thousand, three hundred".