3123344433213 has 24 divisors (see below), whose sum is σ = 4606680726648. Its totient is φ = 2038715315712.

The previous prime is 3123344433149. The next prime is 3123344433247.

3123344433213 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 3 + 4 + 4 + 433 + 213 = 666.

3123344433213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 736606794564 + 2386737638649 = 858258^2 + 1544907^2 .

It is not a de Polignac number, because 3123344433213 - 2⁶ = 3123344433149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3123344435213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17260170 + ... + 17440187.

It is an arithmetic number, because the mean of its divisors is an integer number (191945030277).

Almost surely, 2^{3123344433213} is an apocalyptic number.

It is an amenable number.

3123344433213 is a deficient number, since it is larger than the sum of its proper divisors (1483336293435).

3123344433213 is a wasteful number, since it uses less digits than its factorization.

3123344433213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34700573 (or 34700570 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

The spelling of 3123344433213 in words is "three trillion, one hundred twenty-three billion, three hundred forty-four million, four hundred thirty-three thousand, two hundred thirteen".