3126214126213 has 2 divisors, whose sum is σ = 3126214126214. Its totient is φ = 3126214126212.

The previous prime is 3126214126207. The next prime is 3126214126247.

3126214126213 is nontrivially palindromic in base 10.

It is an a-pointer prime, because the next prime (3126214126247) can be obtained adding 3126214126213 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2165376996484 + 960837129729 = 1471522^2 + 980223^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 3126214126213 - 2¹⁷ = 3126213995141 is a prime.

It is a super-2 number, since 2×3126214126213² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3126214126253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1563107063106 + 1563107063107.

It is an arithmetic number, because the mean of its divisors is an integer number (1563107063107).

Almost surely, 2^{3126214126213} is an apocalyptic number.

It is an amenable number.

3126214126213 is a deficient number, since it is larger than the sum of its proper divisors (1).

3126214126213 is an equidigital number, since it uses as much as digits as its factorization.

3126214126213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 20736, while the sum is 34.

The spelling of 3126214126213 in words is "three trillion, one hundred twenty-six billion, two hundred fourteen million, one hundred twenty-six thousand, two hundred thirteen".