3102314132013 has 32 divisors (see below), whose sum is σ = 4585048022016. Its totient is φ = 1855852339968.

The previous prime is 3102314131951. The next prime is 3102314132039.

3102314132013 is nontrivially palindromic in base 10.

3102314132013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3102314132013 - 2¹⁷ = 3102314000941 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3102314112013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3947331 + ... + 4667552.

It is an arithmetic number, because the mean of its divisors is an integer number (143282750688).

Almost surely, 2^{3102314132013} is an apocalyptic number.

It is an amenable number.

3102314132013 is a deficient number, since it is larger than the sum of its proper divisors (1482733890003).

3102314132013 is a wasteful number, since it uses less digits than its factorization.

3102314132013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8615233.

The product of its (nonzero) digits is 1296, while the sum is 24.

The spelling of 3102314132013 in words is "three trillion, one hundred two billion, three hundred fourteen million, one hundred thirty-two thousand, thirteen".