3123146413213 has 2 divisors, whose sum is σ = 3123146413214. Its totient is φ = 3123146413212.

The previous prime is 3123146413193. The next prime is 3123146413223.

3123146413213 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1571821360729 + 1551325052484 = 1253723^2 + 1245522^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3123146413213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3123146413223) 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, 1561573206606 + 1561573206607.

It is an arithmetic number, because the mean of its divisors is an integer number (1561573206607).

Almost surely, 2^{3123146413213} is an apocalyptic number.

It is an amenable number.

3123146413213 is a deficient number, since it is larger than the sum of its proper divisors (1).

3123146413213 is an equidigital number, since it uses as much as digits as its factorization.

3123146413213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31104, while the sum is 34.

The spelling of 3123146413213 in words is "three trillion, one hundred twenty-three billion, one hundred forty-six million, four hundred thirteen thousand, two hundred thirteen".