1300133200 has 30 divisors (see below), whose sum is σ = 3123570974. Its totient is φ = 520053120.

The previous prime is 1300133189. The next prime is 1300133201. The reversal of 1300133200 is 23310031.

It can be written as a sum of positive squares in 3 ways, for example, as 35904064 + 1264229136 = 5992^2 + 35556^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300133201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1624767 + ... + 1625566.

Almost surely, 2^1300133200 is an apocalyptic number.

1300133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300133200 is an abundant number, since it is smaller than the sum of its proper divisors (1823437774).

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

1300133200 is a wasteful number, since it uses less digits than its factorization.

1300133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250351 (or 3250340 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 1300133200 is about 36057.3598589802. The cubic root of 1300133200 is about 1091.4301570527.

Adding to 1300133200 its reverse (23310031), we get a palindrome (1323443231).

The spelling of 1300133200 in words is "one billion, three hundred million, one hundred thirty-three thousand, two hundred".