130033201200 has 360 divisors, whose sum is σ = 486406613520. Its totient is φ = 29607782400.

The previous prime is 130033201163. The next prime is 130033201201. The reversal of 130033201200 is 2102330031.

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 130033201200.

It is not an unprimeable number, because it can be changed into a prime (130033201201) 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, 15813090 + ... + 15821310.

It is an arithmetic number, because the mean of its divisors is an integer number (1351129482).

Almost surely, 2^130033201200 is an apocalyptic number.

130033201200 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 130033201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243203306760).

130033201200 is an abundant number, since it is smaller than the sum of its proper divisors (356373412320).

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

130033201200 is a wasteful number, since it uses less digits than its factorization.

130033201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8525 (or 8507 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 130033201200 its reverse (2102330031), we get a palindrome (132135531231).

The spelling of 130033201200 in words is "one hundred thirty billion, thirty-three million, two hundred one thousand, two hundred".