1305320520100 has 18 divisors (see below), whose sum is σ = 2832545528834. Its totient is φ = 522128208000.

The previous prime is 1305320520089. The next prime is 1305320520107. The reversal of 1305320520100 is 10250235031.

It can be written as a sum of positive squares in 3 ways, for example, as 213094870884 + 1092225649216 = 461622^2 + 1045096^2 .

It is not an unprimeable number, because it can be changed into a prime (1305320520107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6526602501 + ... + 6526602700.

Almost surely, 2^{1305320520100} is an apocalyptic number.

1305320520100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1305320520100 is an abundant number, since it is smaller than the sum of its proper divisors (1527225008734).

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

1305320520100 is a wasteful number, since it uses less digits than its factorization.

1305320520100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13053205215 (or 13053205208 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

Adding to 1305320520100 its reverse (10250235031), we get a palindrome (1315570755131).

The spelling of 1305320520100 in words is "one trillion, three hundred five billion, three hundred twenty million, five hundred twenty thousand, one hundred".