313132320133 has 2 divisors, whose sum is σ = 313132320134. Its totient is φ = 313132320132.

The previous prime is 313132320107. The next prime is 313132320157. The reversal of 313132320133 is 331023231313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201297590244 + 111834729889 = 448662^2 + 334417^2 .

It is a cyclic number.

It is not a de Polignac number, because 313132320133 - 2³⁷ = 175693366661 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313132320098 and 313132320107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313132320833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156566160066 + 156566160067.

It is an arithmetic number, because the mean of its divisors is an integer number (156566160067).

Almost surely, 2^313132320133 is an apocalyptic number.

It is an amenable number.

313132320133 is a deficient number, since it is larger than the sum of its proper divisors (1).

313132320133 is an equidigital number, since it uses as much as digits as its factorization.

313132320133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 313132320133 its reverse (331023231313), we get a palindrome (644155551446).

The spelling of 313132320133 in words is "three hundred thirteen billion, one hundred thirty-two million, three hundred twenty thousand, one hundred thirty-three".