1033243312313 has 2 divisors, whose sum is σ = 1033243312314. Its totient is φ = 1033243312312.

The previous prime is 1033243312271. The next prime is 1033243312319. The reversal of 1033243312313 is 3132133423301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 765289036864 + 267954275449 = 874808^2 + 517643^2 .

It is a cyclic number.

It is not a de Polignac number, because 1033243312313 - 2²⁴ = 1033226535097 is a prime.

It is not a weakly prime, because it can be changed into another prime (1033243312319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516621656156 + 516621656157.

It is an arithmetic number, because the mean of its divisors is an integer number (516621656157).

Almost surely, 2^{1033243312313} is an apocalyptic number.

It is an amenable number.

1033243312313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033243312313 is an equidigital number, since it uses as much as digits as its factorization.

1033243312313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 1033243312313 its reverse (3132133423301), we get a palindrome (4165376735614).

The spelling of 1033243312313 in words is "one trillion, thirty-three billion, two hundred forty-three million, three hundred twelve thousand, three hundred thirteen".