1313330400 has 216 divisors, whose sum is σ = 4730884704. Its totient is φ = 342681600.

The previous prime is 1313330387. The next prime is 1313330441. The reversal of 1313330400 is 40333131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 336460 + ... + 340340.

It is an arithmetic number, because the mean of its divisors is an integer number (21902244).

Almost surely, 2^1313330400 is an apocalyptic number.

1313330400 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 1313330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365442352).

1313330400 is an abundant number, since it is smaller than the sum of its proper divisors (3417554304).

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

1313330400 is a wasteful number, since it uses less digits than its factorization.

1313330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3954 (or 3938 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1313330400 is about 36239.9006621155. The cubic root of 1313330400 is about 1095.1106412253.

Adding to 1313330400 its reverse (40333131), we get a palindrome (1353663531).

The spelling of 1313330400 in words is "one billion, three hundred thirteen million, three hundred thirty thousand, four hundred".