1313004320 has 48 divisors (see below), whose sum is σ = 3115723968. Its totient is φ = 522873600.

The previous prime is 1313004271. The next prime is 1313004323. The reversal of 1313004320 is 234003131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1313004323) 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 7 ways as a sum of consecutive naturals, for example, 18245 + ... + 54395.

It is an arithmetic number, because the mean of its divisors is an integer number (64910916).

Almost surely, 2^1313004320 is an apocalyptic number.

1313004320 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 1313004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557861984).

1313004320 is an abundant number, since it is smaller than the sum of its proper divisors (1802719648).

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

1313004320 is a wasteful number, since it uses less digits than its factorization.

1313004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36393 (or 36385 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1313004320 is about 36235.4014742489. The cubic root of 1313004320 is about 1095.0200006077.

Adding to 1313004320 its reverse (234003131), we get a palindrome (1547007451).

The spelling of 1313004320 in words is "one billion, three hundred thirteen million, four thousand, three hundred twenty".