10066534061013 has 6 divisors (see below), whose sum is σ = 14540549199254. Its totient is φ = 6711022707336.

The previous prime is 10066534060993. The next prime is 10066534061029. The reversal of 10066534061013 is 31016043566001.

10066534061013 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 6 + 5 + 34 + 0 + 610 + 1 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10064261346084 + 2272714929 = 3172422^2 + 47673^2 .

It is not a de Polignac number, because 10066534061013 - 2²⁶ = 10066466952149 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 (10066534061813) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 559251892270 + ... + 559251892287.

Almost surely, 2^{10066534061013} is an apocalyptic number.

It is an amenable number.

10066534061013 is a deficient number, since it is larger than the sum of its proper divisors (4474015138241).

10066534061013 is a wasteful number, since it uses less digits than its factorization.

10066534061013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118503784563 (or 1118503784560 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 10066534061013 in words is "ten trillion, sixty-six billion, five hundred thirty-four million, sixty-one thousand, thirteen".