130013122200 has 192 divisors, whose sum is σ = 434363761440. Its totient is φ = 31979642880.

The previous prime is 130013122013. The next prime is 130013122249. The reversal of 130013122200 is 2221310031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130013122200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12108034 + ... + 12118766.

Almost surely, 2^130013122200 is an apocalyptic number.

130013122200 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 130013122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217181880720).

130013122200 is an abundant number, since it is smaller than the sum of its proper divisors (304350639240).

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

130013122200 is a wasteful number, since it uses less digits than its factorization.

130013122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12318 (or 12309 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 130013122200 its reverse (2221310031), we get a palindrome (132234432231).

The spelling of 130013122200 in words is "one hundred thirty billion, thirteen million, one hundred twenty-two thousand, two hundred".