130133200320 has 280 divisors, whose sum is σ = 465251292000. Its totient is φ = 34526435328.

The previous prime is 130133200291. The next prime is 130133200321. The reversal of 130133200320 is 23002331031.

130133200320 is a `hidden beast` number, since 1 + 301 + 332 + 0 + 0 + 32 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 130133200293 and 130133200302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130133200321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5145466 + ... + 5170694.

Almost surely, 2^130133200320 is an apocalyptic number.

130133200320 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 130133200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232625646000).

130133200320 is an abundant number, since it is smaller than the sum of its proper divisors (335118091680).

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

130133200320 is a wasteful number, since it uses less digits than its factorization.

130133200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25457 (or 25438 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 130133200320 its reverse (23002331031), we get a palindrome (153135531351).

The spelling of 130133200320 in words is "one hundred thirty billion, one hundred thirty-three million, two hundred thousand, three hundred twenty".