130320000 has 240 divisors, whose sum is σ = 471200730. Its totient is φ = 34560000.

The previous prime is 130319999. The next prime is 130320013. The reversal of 130320000 is 23031.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 6843456 + 123476544 = 2616^2 + 11112^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 719910 + ... + 720090.

Almost surely, 2^130320000 is an apocalyptic number.

130320000 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 130320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235600365).

130320000 is an abundant number, since it is smaller than the sum of its proper divisors (340880730).

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

130320000 is an equidigital number, since it uses as much as digits as its factorization.

130320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 130320000 is about 11415.7785542643. The cubic root of 130320000 is about 506.9950164654.

Adding to 130320000 its reverse (23031), we get a palindrome (130343031).

The spelling of 130320000 in words is "one hundred thirty million, three hundred twenty thousand".