1306110164013 has 64 divisors (see below), whose sum is σ = 2028213043200. Its totient is φ = 830086488000.

The previous prime is 1306110164003. The next prime is 1306110164017. The reversal of 1306110164013 is 3104610116031.

1306110164013 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 1 + 1 + 0 + 1 + 640 + 13 = 666.

It is not a de Polignac number, because 1306110164013 - 2¹⁰ = 1306110162989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306110164017) 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, 6804628 + ... + 6993938.

It is an arithmetic number, because the mean of its divisors is an integer number (31690828800).

Almost surely, 2^{1306110164013} is an apocalyptic number.

It is an amenable number.

1306110164013 is a deficient number, since it is larger than the sum of its proper divisors (722102879187).

1306110164013 is a wasteful number, since it uses less digits than its factorization.

1306110164013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189511 (or 189505 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 1306110164013 in words is "one trillion, three hundred six billion, one hundred ten million, one hundred sixty-four thousand, thirteen".