130131410200 has 288 divisors, whose sum is σ = 350260394400. Its totient is φ = 44840857600.

The previous prime is 130131410137. The next prime is 130131410207. The reversal of 130131410200 is 2014131031.

130131410200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130131410207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62894766 + ... + 62896834.

It is an arithmetic number, because the mean of its divisors is an integer number (1216181925).

Almost surely, 2^130131410200 is an apocalyptic number.

130131410200 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 130131410200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175130197200).

130131410200 is an abundant number, since it is smaller than the sum of its proper divisors (220128984200).

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

130131410200 is a wasteful number, since it uses less digits than its factorization.

130131410200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 130131410200 its reverse (2014131031), we get a palindrome (132145541231).

The spelling of 130131410200 in words is "one hundred thirty billion, one hundred thirty-one million, four hundred ten thousand, two hundred".