3123214123213 has 2 divisors, whose sum is σ = 3123214123214. Its totient is φ = 3123214123212.

The previous prime is 3123214123207. The next prime is 3123214123219.

3123214123213 is nontrivially palindromic in base 10.

It is a balanced prime because it is at equal distance from previous prime (3123214123207) and next prime (3123214123219).

It can be written as a sum of positive squares in only one way, i.e., 2934790413129 + 188423710084 = 1713123^2 + 434078^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 3123214123213 - 2⁹ = 3123214122701 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3123214123219) 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 as a sum of consecutive naturals, namely, 1561607061606 + 1561607061607.

It is an arithmetic number, because the mean of its divisors is an integer number (1561607061607).

Almost surely, 2^{3123214123213} is an apocalyptic number.

It is an amenable number.

3123214123213 is a deficient number, since it is larger than the sum of its proper divisors (1).

3123214123213 is an equidigital number, since it uses as much as digits as its factorization.

3123214123213 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 3123214123213 in words is "three trillion, one hundred twenty-three billion, two hundred fourteen million, one hundred twenty-three thousand, two hundred thirteen".