1313320200 has 192 divisors, whose sum is σ = 4207230720. Its totient is φ = 338688000.

The previous prime is 1313320199. The next prime is 1313320207. The reversal of 1313320200 is 20233131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1313320200.

It is not an unprimeable number, because it can be changed into a prime (1313320207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4846065 + ... + 4846335.

It is an arithmetic number, because the mean of its divisors is an integer number (21912660).

Almost surely, 2^1313320200 is an apocalyptic number.

1313320200 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 1313320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103615360).

1313320200 is an abundant number, since it is smaller than the sum of its proper divisors (2893910520).

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

1313320200 is a wasteful number, since it uses less digits than its factorization.

1313320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1313320200 is about 36239.7599329797. The cubic root of 1313320200 is about 1095.1078061536.

Adding to 1313320200 its reverse (20233131), we get a palindrome (1333553331).

It can be divided in two parts, 13133 and 20200, that added together give a palindrome (33333).

The spelling of 1313320200 in words is "one billion, three hundred thirteen million, three hundred twenty thousand, two hundred".