1311332320 has 48 divisors (see below), whose sum is σ = 3118596768. Its totient is φ = 521049600.

The previous prime is 1311332317. The next prime is 1311332339. The reversal of 1311332320 is 232331131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2979 + ... + 51298.

It is an arithmetic number, because the mean of its divisors is an integer number (64970766).

Almost surely, 2^1311332320 is an apocalyptic number.

1311332320 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 1311332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559298384).

1311332320 is an abundant number, since it is smaller than the sum of its proper divisors (1807264448).

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

1311332320 is a wasteful number, since it uses less digits than its factorization.

1311332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54443 (or 54435 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 1311332320 is about 36212.3227644955. The cubic root of 1311332320 is about 1094.5549980388.

Adding to 1311332320 its reverse (232331131), we get a palindrome (1543663451).

The spelling of 1311332320 in words is "one billion, three hundred eleven million, three hundred thirty-two thousand, three hundred twenty".