1331316000 has 480 divisors, whose sum is σ = 5593940352. Its totient is φ = 303782400.

The previous prime is 1331315977. The next prime is 1331316001. The reversal of 1331316000 is 6131331.

1331316000 is a `hidden beast` number, since 1 + 3 + 31 + 31 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (1331316001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 2267707 + ... + 2268293.

Almost surely, 2^1331316000 is an apocalyptic number.

1331316000 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 1331316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796970176).

1331316000 is an abundant number, since it is smaller than the sum of its proper divisors (4262624352).

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

1331316000 is an equidigital number, since it uses as much as digits as its factorization.

1331316000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1331316000 is about 36487.2032362032. The cubic root of 1331316000 is about 1100.0870454533.

Adding to 1331316000 its reverse (6131331), we get a palindrome (1337447331).

The spelling of 1331316000 in words is "one billion, three hundred thirty-one million, three hundred sixteen thousand".