130033213200 has 360 divisors, whose sum is σ = 496647721440. Its totient is φ = 31243161600.

The previous prime is 130033213199. The next prime is 130033213249. The reversal of 130033213200 is 2312330031.

130033213200 is a `hidden beast` number, since 1 + 300 + 332 + 1 + 32 + 0 + 0 = 666.

130033213200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4460271 + ... + 4489329.

It is an arithmetic number, because the mean of its divisors is an integer number (1379577004).

Almost surely, 2^130033213200 is an apocalyptic number.

130033213200 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 130033213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248323860720).

130033213200 is an abundant number, since it is smaller than the sum of its proper divisors (366614508240).

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

130033213200 is a wasteful number, since it uses less digits than its factorization.

130033213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29207 (or 29193 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 130033213200 its reverse (2312330031), we get a palindrome (132345543231).

The spelling of 130033213200 in words is "one hundred thirty billion, thirty-three million, two hundred thirteen thousand, two hundred".