3124134314213 has 12 divisors (see below), whose sum is σ = 3467965491564. Its totient is φ = 2812002072000.

The previous prime is 3124134314167. The next prime is 3124134314251.

3124134314213 is nontrivially palindromic in base 10.

3124134314213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2310272321764 + 813861992449 = 1519958^2 + 902143^2 .

It is not a de Polignac number, because 3124134314213 - 2²⁴ = 3124117536997 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3124134314213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3124134314293) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127806056 + ... + 127830497.

It is an arithmetic number, because the mean of its divisors is an integer number (288997124297).

Almost surely, 2^{3124134314213} is an apocalyptic number.

It is an amenable number.

3124134314213 is a deficient number, since it is larger than the sum of its proper divisors (343831177351).

3124134314213 is a wasteful number, since it uses less digits than its factorization.

3124134314213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255636676 (or 255636665 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The spelling of 3124134314213 in words is "three trillion, one hundred twenty-four billion, one hundred thirty-four million, three hundred fourteen thousand, two hundred thirteen".