1303321320 has 256 divisors, whose sum is σ = 5257612800. Its totient is φ = 280350720.

The previous prime is 1303321259. The next prime is 1303321343. The reversal of 1303321320 is 231233031.

1303321320 is a `hidden beast` number, since 13 + 0 + 332 + 1 + 320 = 666.

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 = 1303321293 and 1303321302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123450 + ... + 133590.

It is an arithmetic number, because the mean of its divisors is an integer number (20537550).

Almost surely, 2^1303321320 is an apocalyptic number.

1303321320 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 1303321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628806400).

1303321320 is an abundant number, since it is smaller than the sum of its proper divisors (3954291480).

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

1303321320 is a wasteful number, since it uses less digits than its factorization.

1303321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10185 (or 10175 counting only the distinct ones).

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

The square root of 1303321320 is about 36101.5417953306. The cubic root of 1303321320 is about 1092.3215452086.

Adding to 1303321320 its reverse (231233031), we get a palindrome (1534554351).

The spelling of 1303321320 in words is "one billion, three hundred three million, three hundred twenty-one thousand, three hundred twenty".