1306113564441 has 64 divisors (see below), whose sum is σ = 2159216801280. Its totient is φ = 685163888640.

The previous prime is 1306113564389. The next prime is 1306113564473. The reversal of 1306113564441 is 1444653116031.

It is a happy number.

It is not a de Polignac number, because 1306113564441 - 2²⁹ = 1305576693529 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1306113564441.

It is not an unprimeable number, because it can be changed into a prime (1306113564491) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104340915 + ... + 104353431.

It is an arithmetic number, because the mean of its divisors is an integer number (33737762520).

Almost surely, 2^{1306113564441} is an apocalyptic number.

It is an amenable number.

1306113564441 is a deficient number, since it is larger than the sum of its proper divisors (853103236839).

1306113564441 is a wasteful number, since it uses less digits than its factorization.

1306113564441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19714.

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 1306113564441 in words is "one trillion, three hundred six billion, one hundred thirteen million, five hundred sixty-four thousand, four hundred forty-one".