1313411320 has 128 divisors (see below), whose sum is σ = 3343939200. Its totient is φ = 460652544.

The previous prime is 1313411299. The next prime is 1313411327. The reversal of 1313411320 is 231143131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313411327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2307996 + ... + 2308564.

It is an arithmetic number, because the mean of its divisors is an integer number (26124525).

Almost surely, 2^1313411320 is an apocalyptic number.

1313411320 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 1313411320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671969600).

1313411320 is an abundant number, since it is smaller than the sum of its proper divisors (2030527880).

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

1313411320 is a wasteful number, since it uses less digits than its factorization.

1313411320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1313411320 is about 36241.0170938951. The cubic root of 1313411320 is about 1095.1331322738.

Adding to 1313411320 its reverse (231143131), we get a palindrome (1544554451).

The spelling of 1313411320 in words is "one billion, three hundred thirteen million, four hundred eleven thousand, three hundred twenty".