1305320520101 has 8 divisors (see below), whose sum is σ = 1413013367640. Its totient is φ = 1198668183552.

The previous prime is 1305320520089. The next prime is 1305320520107. The reversal of 1305320520101 is 1010250235031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7885617601 + 1297434902500 = 88801^2 + 1139050^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1305320520101 - 2¹⁰ = 1305320519077 is a prime.

It is a Duffinian number.

It is a congruent number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260125136 + ... + 260130153.

It is an arithmetic number, because the mean of its divisors is an integer number (176626670955).

Almost surely, 2^{1305320520101} is an apocalyptic number.

It is an amenable number.

1305320520101 is a deficient number, since it is larger than the sum of its proper divisors (107692847539).

1305320520101 is a wasteful number, since it uses less digits than its factorization.

1305320520101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520255495.

The product of its (nonzero) digits is 900, while the sum is 23.

Adding to 1305320520101 its reverse (1010250235031), we get a palindrome (2315570755132).

The spelling of 1305320520101 in words is "one trillion, three hundred five billion, three hundred twenty million, five hundred twenty thousand, one hundred one".