130201344000 has 2304 divisors, whose sum is σ = 625041930240. Its totient is φ = 26276659200.

The previous prime is 130201343999. The next prime is 130201344071. The reversal of 130201344000 is 443102031.

130201344000 is a `hidden beast` number, since 1 + 30 + 201 + 34 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5660927989 + ... + 5660928011.

It is an arithmetic number, because the mean of its divisors is an integer number (271285560).

Almost surely, 2^130201344000 is an apocalyptic number.

130201344000 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 130201344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312520965120).

130201344000 is an abundant number, since it is smaller than the sum of its proper divisors (494840586240).

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

130201344000 is an equidigital number, since it uses as much as digits as its factorization.

130201344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 130201344000 its reverse (443102031), we get a palindrome (130644446031).

The spelling of 130201344000 in words is "one hundred thirty billion, two hundred one million, three hundred forty-four thousand".