10505016166113 has 32 divisors (see below), whose sum is σ = 17787379896320. Its totient is φ = 6002492046480.

The previous prime is 10505016166111. The next prime is 10505016166133. The reversal of 10505016166113 is 31166161050501.

10505016166113 is a `hidden beast` number, since 10 + 5 + 0 + 5 + 0 + 16 + 16 + 611 + 3 = 666.

10505016166113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10505016166113 - 2¹ = 10505016166111 is a prime.

It is a super-2 number, since 2×10505016166113² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10505016166111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1320006 + ... + 4769952.

It is an arithmetic number, because the mean of its divisors is an integer number (555855621760).

Almost surely, 2^{10505016166113} is an apocalyptic number.

It is an amenable number.

10505016166113 is a deficient number, since it is larger than the sum of its proper divisors (7282363730207).

10505016166113 is a wasteful number, since it uses less digits than its factorization.

10505016166113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3466074 (or 3466068 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 10505016166113 in words is "ten trillion, five hundred five billion, sixteen million, one hundred sixty-six thousand, one hundred thirteen".