1300320000 has 720 divisors, whose sum is σ = 5619201280. Its totient is φ = 290304000.

The previous prime is 1300319989. The next prime is 1300320023. The reversal of 1300320000 is 230031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30239979 + ... + 30240021.

Almost surely, 2^1300320000 is an apocalyptic number.

1300320000 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 1300320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809600640).

1300320000 is an abundant number, since it is smaller than the sum of its proper divisors (4318881280).

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

1300320000 is an frugal number, since it uses more digits than its factorization.

1300320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 60 counting only the distinct ones).

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

The square root of 1300320000 is about 36059.9500831601. The cubic root of 1300320000 is about 1091.4824258997.

Adding to 1300320000 its reverse (230031), we get a palindrome (1300550031).

The spelling of 1300320000 in words is "one billion, three hundred million, three hundred twenty thousand".