312133301424073 has 2 divisors, whose sum is σ = 312133301424074. Its totient is φ = 312133301424072.

The previous prime is 312133301424047. The next prime is 312133301424127. The reversal of 312133301424073 is 370424103331213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 311613333520329 + 519967903744 = 17652573^2 + 721088^2 .

It is a cyclic number.

It is not a de Polignac number, because 312133301424073 - 2¹⁷ = 312133301293001 is a prime.

It is not a weakly prime, because it can be changed into another prime (312133301424673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156066650712036 + 156066650712037.

It is an arithmetic number, because the mean of its divisors is an integer number (156066650712037).

Almost surely, 2^{312133301424073} is an apocalyptic number.

It is an amenable number.

312133301424073 is a deficient number, since it is larger than the sum of its proper divisors (1).

312133301424073 is an equidigital number, since it uses as much as digits as its factorization.

312133301424073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108864, while the sum is 37.

Adding to 312133301424073 its reverse (370424103331213), we get a palindrome (682557404755286).

The spelling of 312133301424073 in words is "three hundred twelve trillion, one hundred thirty-three billion, three hundred one million, four hundred twenty-four thousand, seventy-three".