1300320320 has 112 divisors (see below), whose sum is σ = 3350989488. Its totient is φ = 477757440.

The previous prime is 1300320317. The next prime is 1300320353. The reversal of 1300320320 is 230230031.

It can be written as a sum of positive squares in 8 ways, for example, as 68029504 + 1232290816 = 8248^2 + 35104^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1300320295 and 1300320304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1001912 + ... + 1003208.

It is an arithmetic number, because the mean of its divisors is an integer number (29919549).

Almost surely, 2^1300320320 is an apocalyptic number.

1300320320 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 1300320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675494744).

1300320320 is an abundant number, since it is smaller than the sum of its proper divisors (2050669168).

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

1300320320 is a wasteful number, since it uses less digits than its factorization.

1300320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 1300320320 is about 36059.9545202154. The cubic root of 1300320320 is about 1091.4825154352.

Adding to 1300320320 its reverse (230230031), we get a palindrome (1530550351).

The spelling of 1300320320 in words is "one billion, three hundred million, three hundred twenty thousand, three hundred twenty".