312024343420213 has 2 divisors, whose sum is σ = 312024343420214. Its totient is φ = 312024343420212.

The previous prime is 312024343420189. The next prime is 312024343420261.

312024343420213 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 208625178362769 + 103399165057444 = 14443863^2 + 10168538^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 312024343420213 - 2²¹ = 312024341323061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312024343427213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156012171710106 + 156012171710107.

It is an arithmetic number, because the mean of its divisors is an integer number (156012171710107).

Almost surely, 2^{312024343420213} is an apocalyptic number.

It is an amenable number.

312024343420213 is a deficient number, since it is larger than the sum of its proper divisors (1).

312024343420213 is an equidigital number, since it uses as much as digits as its factorization.

312024343420213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 82944, while the sum is 34.

The spelling of 312024343420213 in words is "three hundred twelve trillion, twenty-four billion, three hundred forty-three million, four hundred twenty thousand, two hundred thirteen".