312233424332213 has 2 divisors, whose sum is σ = 312233424332214. Its totient is φ = 312233424332212.

The previous prime is 312233424332191. The next prime is 312233424332287.

312233424332213 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., 166575728842084 + 145657695490129 = 12906422^2 + 12068873^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 312233424332213 - 2³⁰ = 312232350590389 is a prime.

It is a super-2 number, since 2×312233424332213² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312233424332813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156116712166106 + 156116712166107.

It is an arithmetic number, because the mean of its divisors is an integer number (156116712166107).

Almost surely, 2^{312233424332213} is an apocalyptic number.

It is an amenable number.

312233424332213 is a deficient number, since it is larger than the sum of its proper divisors (1).

312233424332213 is an equidigital number, since it uses as much as digits as its factorization.

312233424332213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 373248, while the sum is 38.

The spelling of 312233424332213 in words is "three hundred twelve trillion, two hundred thirty-three billion, four hundred twenty-four million, three hundred thirty-two thousand, two hundred thirteen".