130413005200 has 120 divisors (see below), whose sum is σ = 316397648808. Its totient is φ = 51654819840.

The previous prime is 130413005161. The next prime is 130413005209. The reversal of 130413005200 is 2500314031.

It can be written as a sum of positive squares in 12 ways, for example, as 12569100544 + 117843904656 = 112112^2 + 343284^2 .

It is not an unprimeable number, because it can be changed into a prime (130413005209) 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 23 ways as a sum of consecutive naturals, for example, 17780734 + ... + 17788066.

Almost surely, 2^130413005200 is an apocalyptic number.

130413005200 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 130413005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158198824404).

130413005200 is an abundant number, since it is smaller than the sum of its proper divisors (185984643608).

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

130413005200 is a wasteful number, since it uses less digits than its factorization.

130413005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7781 (or 7770 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 130413005200 its reverse (2500314031), we get a palindrome (132913319231).

The spelling of 130413005200 in words is "one hundred thirty billion, four hundred thirteen million, five thousand, two hundred".