312135404531213 has 2 divisors, whose sum is σ = 312135404531214. Its totient is φ = 312135404531212.

The previous prime is 312135404531189. The next prime is 312135404531239.

It is a happy number.

312135404531213 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., 311664351544324 + 471052986889 = 17654018^2 + 686333^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 312135404531213 - 2⁴² = 307737358020109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312135404531813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156067702265606 + 156067702265607.

It is an arithmetic number, because the mean of its divisors is an integer number (156067702265607).

Almost surely, 2^{312135404531213} is an apocalyptic number.

It is an amenable number.

312135404531213 is a deficient number, since it is larger than the sum of its proper divisors (1).

312135404531213 is an equidigital number, since it uses as much as digits as its factorization.

312135404531213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129600, while the sum is 38.

It can be divided in two parts, 31213540 and 4531213, that added together give a palindrome (35744753).

The spelling of 312135404531213 in words is "three hundred twelve trillion, one hundred thirty-five billion, four hundred four million, five hundred thirty-one thousand, two hundred thirteen".