1320133300 has 144 divisors (see below), whose sum is σ = 3333536640. Its totient is φ = 450109440.

The previous prime is 1320133291. The next prime is 1320133301. The reversal of 1320133300 is 33310231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320133301) 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 47 ways as a sum of consecutive naturals, for example, 742012 + ... + 743788.

It is an arithmetic number, because the mean of its divisors is an integer number (23149560).

Almost surely, 2^1320133300 is an apocalyptic number.

1320133300 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 1320133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666768320).

1320133300 is an abundant number, since it is smaller than the sum of its proper divisors (2013403340).

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

1320133300 is a wasteful number, since it uses less digits than its factorization.

1320133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 1320133300 is about 36333.6386837322. The cubic root of 1320133300 is about 1096.9982347342.

Adding to 1320133300 its reverse (33310231), we get a palindrome (1353443531).

The spelling of 1320133300 in words is "one billion, three hundred twenty million, one hundred thirty-three thousand, three hundred".