1328970896100 has 135 divisors (see below), whose sum is σ = 4308334971787. Its totient is φ = 354364571520.

The previous prime is 1328970896093. The next prime is 1328970896119. The reversal of 1328970896100 is 16980798231.

The square root of 1328970896100 is 1152810.

It is a perfect power (a square), and thus also a powerful number.

1328970896100 is a `hidden beast` number, since 13 + 2 + 8 + 9 + 7 + 0 + 8 + 9 + 610 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 140539512996 + 1188431383104 = 374886^2 + 1090152^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 103746496 + ... + 103759304.

Almost surely, 2^{1328970896100} is an apocalyptic number.

1328970896100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1328970896100 is the 1152810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1328970896100

1328970896100 is an abundant number, since it is smaller than the sum of its proper divisors (2979364075687).

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

1328970896100 is an frugal number, since it uses more digits than its factorization.

1328970896100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25644 (or 12819 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 1328970896100 in words is "one trillion, three hundred twenty-eight billion, nine hundred seventy million, eight hundred ninety-six thousand, one hundred".