130001313200 has 120 divisors (see below), whose sum is σ = 340896990720. Its totient is φ = 47248876800.

The previous prime is 130001313137. The next prime is 130001313203. The reversal of 130001313200 is 2313100031.

It is not an unprimeable number, because it can be changed into a prime (130001313203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10056341 + ... + 10069259.

It is an arithmetic number, because the mean of its divisors is an integer number (2840808256).

Almost surely, 2^130001313200 is an apocalyptic number.

130001313200 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 130001313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170448495360).

130001313200 is an abundant number, since it is smaller than the sum of its proper divisors (210895677520).

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

130001313200 is a wasteful number, since it uses less digits than its factorization.

130001313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15235 (or 15224 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 130001313200 its reverse (2313100031), we get a palindrome (132314413231).

The spelling of 130001313200 in words is "one hundred thirty billion, one million, three hundred thirteen thousand, two hundred".