130001003101200 has 960 divisors, whose sum is σ = 549014044852224. Its totient is φ = 25504174080000.

The previous prime is 130001003101199. The next prime is 130001003101217. The reversal of 130001003101200 is 2101300100031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 116886924 + ... + 117993876.

Almost surely, 2^{130001003101200} is an apocalyptic number.

130001003101200 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 130001003101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274507022426112).

130001003101200 is an abundant number, since it is smaller than the sum of its proper divisors (419013041751024).

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

130001003101200 is a wasteful number, since it uses less digits than its factorization.

130001003101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107064 (or 1107053 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 130001003101200 its reverse (2101300100031), we get a palindrome (132102303201231).

The spelling of 130001003101200 in words is "one hundred thirty trillion, one billion, three million, one hundred one thousand, two hundred".