1321330000 has 100 divisors (see below), whose sum is σ = 3218610340. Its totient is φ = 525312000.

The previous prime is 1321329983. The next prime is 1321330007. The reversal of 1321330000 is 331231.

It can be written as a sum of positive squares in 10 ways, for example, as 258309184 + 1063020816 = 16072^2 + 32604^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321330007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2289712 + ... + 2290288.

Almost surely, 2^1321330000 is an apocalyptic number.

1321330000 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 1321330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609305170).

1321330000 is an abundant number, since it is smaller than the sum of its proper divisors (1897280340).

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

1321330000 is an equidigital number, since it uses as much as digits as its factorization.

1321330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 1321330000 is about 36350.1031635400. The cubic root of 1321330000 is about 1097.3296106919.

Adding to 1321330000 its reverse (331231), we get a palindrome (1321661231).

The spelling of 1321330000 in words is "one billion, three hundred twenty-one million, three hundred thirty thousand".