1313304000 has 112 divisors (see below), whose sum is σ = 4336609056. Its totient is φ = 350208000.

The previous prime is 1313303989. The next prime is 1313304001. The reversal of 1313304000 is 4033131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313304001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3361 + ... + 51360.

Almost surely, 2^1313304000 is an apocalyptic number.

1313304000 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 1313304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168304528).

1313304000 is an abundant number, since it is smaller than the sum of its proper divisors (3023305056).

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

1313304000 is an equidigital number, since it uses as much as digits as its factorization.

1313304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54751 (or 54731 counting only the distinct ones).

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

The square root of 1313304000 is about 36239.5364208760. The cubic root of 1313304000 is about 1095.1033033625.

Adding to 1313304000 its reverse (4033131), we get a palindrome (1317337131).

The spelling of 1313304000 in words is "one billion, three hundred thirteen million, three hundred four thousand".