1330007300 has 36 divisors (see below), whose sum is σ = 2890385316. Its totient is φ = 531216000.

The previous prime is 1330007293. The next prime is 1330007303. The reversal of 1330007300 is 37000331.

It can be written as a sum of positive squares in 6 ways, for example, as 238144 + 1329769156 = 488^2 + 36466^2 .

It is not an unprimeable number, because it can be changed into a prime (1330007303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60614 + ... + 79586.

It is an arithmetic number, because the mean of its divisors is an integer number (80288481).

Almost surely, 2^1330007300 is an apocalyptic number.

1330007300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330007300 is an abundant number, since it is smaller than the sum of its proper divisors (1560378016).

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

1330007300 is a wasteful number, since it uses less digits than its factorization.

1330007300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19688 (or 19681 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 17.

The square root of 1330007300 is about 36469.2651420343. The cubic root of 1330007300 is about 1099.7264609098.

Adding to 1330007300 its reverse (37000331), we get a palindrome (1367007631).

The spelling of 1330007300 in words is "one billion, three hundred thirty million, seven thousand, three hundred".