1313333320 has 128 divisors (see below), whose sum is σ = 3286332000. Its totient is φ = 469278720.

The previous prime is 1313333303. The next prime is 1313333339. The reversal of 1313333320 is 233333131.

It can be written as a sum of positive squares in 16 ways, for example, as 32695524 + 1280637796 = 5718^2 + 35786^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1313333291 and 1313333300.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4882146 + ... + 4882414.

Almost surely, 2^1313333320 is an apocalyptic number.

1313333320 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 1313333320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643166000).

1313333320 is an abundant number, since it is smaller than the sum of its proper divisors (1972998680).

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

1313333320 is a wasteful number, since it uses less digits than its factorization.

1313333320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 22.

The square root of 1313333320 is about 36239.9409491793. The cubic root of 1313333320 is about 1095.1114528313. Note that the first 3 decimals are identical.

Adding to 1313333320 its reverse (233333131), we get a palindrome (1546666451).

The spelling of 1313333320 in words is "one billion, three hundred thirteen million, three hundred thirty-three thousand, three hundred twenty".