3166102535013 has 108 divisors (see below), whose sum is σ = 5617387237644. Its totient is φ = 1710921484800.

The previous prime is 3166102534999. The next prime is 3166102535053. The reversal of 3166102535013 is 3105352016613.

3166102535013 is a `hidden beast` number, since 3 + 1 + 6 + 6 + 102 + 535 + 0 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1626436001124 + 1539666533889 = 1275318^2 + 1240833^2 .

It is not a de Polignac number, because 3166102535013 - 2¹⁶ = 3166102469477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3166102535053) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6446323 + ... + 6920063.

It is an arithmetic number, because the mean of its divisors is an integer number (52012844793).

Almost surely, 2^{3166102535013} is an apocalyptic number.

3166102535013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3166102535013 is a deficient number, since it is larger than the sum of its proper divisors (2451284702631).

3166102535013 is a wasteful number, since it uses less digits than its factorization.

3166102535013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473824 (or 473791 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 3166102535013 in words is "three trillion, one hundred sixty-six billion, one hundred two million, five hundred thirty-five thousand, thirteen".