1313204200 has 192 divisors, whose sum is σ = 3832790400. Its totient is φ = 406502400.

The previous prime is 1313204197. The next prime is 1313204201. The reversal of 1313204200 is 24023131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1313204201) 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, 4142442 + ... + 4142758.

It is an arithmetic number, because the mean of its divisors is an integer number (19962450).

Almost surely, 2^1313204200 is an apocalyptic number.

1313204200 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 1313204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916395200).

1313204200 is an abundant number, since it is smaller than the sum of its proper divisors (2519586200).

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

1313204200 is a wasteful number, since it uses less digits than its factorization.

1313204200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1313204200 is about 36238.1594455348. The cubic root of 1313204200 is about 1095.0755631292.

Adding to 1313204200 its reverse (24023131), we get a palindrome (1337227331).

The spelling of 1313204200 in words is "one billion, three hundred thirteen million, two hundred four thousand, two hundred".