313233032033 has 2 divisors, whose sum is σ = 313233032034. Its totient is φ = 313233032032.

The previous prime is 313233031981. The next prime is 313233032039. The reversal of 313233032033 is 330230332313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311657577169 + 1575454864 = 558263^2 + 39692^2 .

It is a cyclic number.

It is not a de Polignac number, because 313233032033 - 2¹² = 313233027937 is a prime.

It is a super-2 number, since 2×313233032033² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313233031993 and 313233032011.

It is not a weakly prime, because it can be changed into another prime (313233032039) 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, 156616516016 + 156616516017.

It is an arithmetic number, because the mean of its divisors is an integer number (156616516017).

Almost surely, 2^313233032033 is an apocalyptic number.

It is an amenable number.

313233032033 is a deficient number, since it is larger than the sum of its proper divisors (1).

313233032033 is an equidigital number, since it uses as much as digits as its factorization.

313233032033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 26.

Adding to 313233032033 its reverse (330230332313), we get a palindrome (643463364346).

The spelling of 313233032033 in words is "three hundred thirteen billion, two hundred thirty-three million, thirty-two thousand, thirty-three".