1305320520141 has 48 divisors (see below), whose sum is σ = 2089044260160. Its totient is φ = 778744834560.

The previous prime is 1305320520113. The next prime is 1305320520169. The reversal of 1305320520141 is 1410250235031.

1305320520141 is a `hidden beast` number, since 1 + 30 + 53 + 20 + 520 + 1 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (1305320520113) and next prime (1305320520169).

It is not a de Polignac number, because 1305320520141 - 2²⁶ = 1305253411277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305320520341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9409701 + ... + 9547413.

It is an arithmetic number, because the mean of its divisors is an integer number (43521755420).

Almost surely, 2^{1305320520141} is an apocalyptic number.

1305320520141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1305320520141 is a deficient number, since it is larger than the sum of its proper divisors (783723740019).

1305320520141 is a wasteful number, since it uses less digits than its factorization.

1305320520141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139226 (or 139223 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 1305320520141 its reverse (1410250235031), we get a palindrome (2715570755172).

The spelling of 1305320520141 in words is "one trillion, three hundred five billion, three hundred twenty million, five hundred twenty thousand, one hundred forty-one".