3122314132213 has 32 divisors (see below), whose sum is σ = 3392140032000. Its totient is φ = 2862659917824.

The previous prime is 3122314132207. The next prime is 3122314132219.

3122314132213 is nontrivially palindromic in base 10.

3122314132213 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3122314132207) and next prime (3122314132219).

It is not a de Polignac number, because 3122314132213 - 2⁹ = 3122314131701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3122314132219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671607513 + ... + 671612161.

It is an arithmetic number, because the mean of its divisors is an integer number (106004376000).

Almost surely, 2^{3122314132213} is an apocalyptic number.

It is an amenable number.

3122314132213 is a deficient number, since it is larger than the sum of its proper divisors (269825899787).

3122314132213 is a wasteful number, since it uses less digits than its factorization.

3122314132213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8469.

The product of its digits is 5184, while the sum is 28.

It can be divided in two parts, 312231 and 4132213, that added together give a palindrome (4444444).

The spelling of 3122314132213 in words is "three trillion, one hundred twenty-two billion, three hundred fourteen million, one hundred thirty-two thousand, two hundred thirteen".