130313432200 has 288 divisors, whose sum is σ = 373300660800. Its totient is φ = 42093596160.

The previous prime is 130313432173. The next prime is 130313432209. The reversal of 130313432200 is 2234313031.

It is a super-2 number, since 2×130313432200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130313432209) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 15097486 + ... + 15106114.

It is an arithmetic number, because the mean of its divisors is an integer number (1296182850).

Almost surely, 2^130313432200 is an apocalyptic number.

130313432200 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 130313432200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186650330400).

130313432200 is an abundant number, since it is smaller than the sum of its proper divisors (242987228600).

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

130313432200 is a wasteful number, since it uses less digits than its factorization.

130313432200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8749 (or 8733 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 130313432200 its reverse (2234313031), we get a palindrome (132547745231).

The spelling of 130313432200 in words is "one hundred thirty billion, three hundred thirteen million, four hundred thirty-two thousand, two hundred".