1313114200 has 96 divisors (see below), whose sum is σ = 3226132800. Its totient is φ = 496240640.

The previous prime is 1313114161. The next prime is 1313114219. The reversal of 1313114200 is 24113131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270192 + ... + 275008.

It is an arithmetic number, because the mean of its divisors is an integer number (33605550).

Almost surely, 2^1313114200 is an apocalyptic number.

1313114200 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 1313114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613066400).

1313114200 is an abundant number, since it is smaller than the sum of its proper divisors (1913018600).

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

1313114200 is a wasteful number, since it uses less digits than its factorization.

1313114200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4909 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1313114200 is about 36236.9176393357. The cubic root of 1313114200 is about 1095.0505456815.

Adding to 1313114200 its reverse (24113131), we get a palindrome (1337227331).

The spelling of 1313114200 in words is "one billion, three hundred thirteen million, one hundred fourteen thousand, two hundred".