1328713300 has 72 divisors (see below), whose sum is σ = 2995120800. Its totient is φ = 511029120.

The previous prime is 1328713297. The next prime is 1328713303. The reversal of 1328713300 is 33178231.

It is an interprime number because it is at equal distance from previous prime (1328713297) and next prime (1328713303).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328713303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 819891 + ... + 821509.

It is an arithmetic number, because the mean of its divisors is an integer number (41598900).

Almost surely, 2^1328713300 is an apocalyptic number.

1328713300 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 1328713300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497560400).

1328713300 is an abundant number, since it is smaller than the sum of its proper divisors (1666407500).

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

1328713300 is a wasteful number, since it uses less digits than its factorization.

1328713300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 1328713300 is about 36451.5198585738. The cubic root of 1328713300 is about 1099.3696939966.

The spelling of 1328713300 in words is "one billion, three hundred twenty-eight million, seven hundred thirteen thousand, three hundred".