312354404453213 has 2 divisors, whose sum is σ = 312354404453214. Its totient is φ = 312354404453212.

The previous prime is 312354404453207. The next prime is 312354404453249.

312354404453213 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., 254784582052729 + 57569822400484 = 15961973^2 + 7587478^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 312354404453213 - 2¹² = 312354404449117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312354404450213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156177202226606 + 156177202226607.

It is an arithmetic number, because the mean of its divisors is an integer number (156177202226607).

Almost surely, 2^{312354404453213} is an apocalyptic number.

It is an amenable number.

312354404453213 is a deficient number, since it is larger than the sum of its proper divisors (1).

312354404453213 is an equidigital number, since it uses as much as digits as its factorization.

312354404453213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2073600, while the sum is 44.

It can be divided in two parts, 31235440 and 4453213, that added together give a palindrome (35688653).

The spelling of 312354404453213 in words is "three hundred twelve trillion, three hundred fifty-four billion, four hundred four million, four hundred fifty-three thousand, two hundred thirteen".