3105342435013 has 64 divisors (see below), whose sum is σ = 4093517998080. Its totient is φ = 2287010246400.

The previous prime is 3105342435011. The next prime is 3105342435043.

3105342435013 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 3105342435013 - 2¹ = 3105342435011 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3105342435013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3105342435011) 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, 99863598 + ... + 99894688.

It is an arithmetic number, because the mean of its divisors is an integer number (63961218720).

Almost surely, 2^{3105342435013} is an apocalyptic number.

It is an amenable number.

3105342435013 is a deficient number, since it is larger than the sum of its proper divisors (988175563067).

3105342435013 is a wasteful number, since it uses less digits than its factorization.

3105342435013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32138.

The product of its (nonzero) digits is 64800, while the sum is 34.

The spelling of 3105342435013 in words is "three trillion, one hundred five billion, three hundred forty-two million, four hundred thirty-five thousand, thirteen".