1311320000 has 70 divisors (see below), whose sum is σ = 3251746608. Its totient is φ = 524512000.

The previous prime is 1311319921. The next prime is 1311320027. The reversal of 1311320000 is 231131.

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 23609 + ... + 56391.

Almost surely, 2^1311320000 is an apocalyptic number.

1311320000 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 1311320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625873304).

1311320000 is an abundant number, since it is smaller than the sum of its proper divisors (1940426608).

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

1311320000 is an frugal number, since it uses more digits than its factorization.

1311320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32815 (or 32790 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1311320000 is about 36212.1526562562. The cubic root of 1311320000 is about 1094.5515702375.

Adding to 1311320000 its reverse (231131), we get a palindrome (1311551131).

The spelling of 1311320000 in words is "one billion, three hundred eleven million, three hundred twenty thousand".