312033113333213 has 2 divisors, whose sum is σ = 312033113333214. Its totient is φ = 312033113333212.

The previous prime is 312033113333159. The next prime is 312033113333297. The reversal of 312033113333213 is 312333311330213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 245775759954169 + 66257353379044 = 15677237^2 + 8139862^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312033113333213 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312033113333213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312033113383213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156016556666606 + 156016556666607.

It is an arithmetic number, because the mean of its divisors is an integer number (156016556666607).

Almost surely, 2^{312033113333213} is an apocalyptic number.

It is an amenable number.

312033113333213 is a deficient number, since it is larger than the sum of its proper divisors (1).

312033113333213 is an equidigital number, since it uses as much as digits as its factorization.

312033113333213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 26244, while the sum is 32.

Adding to 312033113333213 its reverse (312333311330213), we get a palindrome (624366424663426).

The spelling of 312033113333213 in words is "three hundred twelve trillion, thirty-three billion, one hundred thirteen million, three hundred thirty-three thousand, two hundred thirteen".