1311304320 has 192 divisors, whose sum is σ = 4551150240. Its totient is φ = 347904000.

The previous prime is 1311304303. The next prime is 1311304321. The reversal of 1311304320 is 234031131.

1311304320 is a `hidden beast` number, since 1 + 311 + 30 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 1311304293 and 1311304302.

It is not an unprimeable number, because it can be changed into a prime (1311304321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1445307 + ... + 1446213.

Almost surely, 2^1311304320 is an apocalyptic number.

1311304320 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 1311304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275575120).

1311304320 is an abundant number, since it is smaller than the sum of its proper divisors (3239845920).

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

1311304320 is a wasteful number, since it uses less digits than its factorization.

1311304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1311304320 is about 36211.9361537049. The cubic root of 1311304320 is about 1094.5472075503.

Adding to 1311304320 its reverse (234031131), we get a palindrome (1545335451).

The spelling of 1311304320 in words is "one billion, three hundred eleven million, three hundred four thousand, three hundred twenty".