10313001132233 has 2 divisors, whose sum is σ = 10313001132234. Its totient is φ = 10313001132232.

The previous prime is 10313001132127. The next prime is 10313001132241. The reversal of 10313001132233 is 33223110031301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10268512620304 + 44488511929 = 3204452^2 + 210923^2 .

It is a cyclic number.

It is not a de Polignac number, because 10313001132233 - 2¹² = 10313001128137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10313001132199 and 10313001132208.

It is not a weakly prime, because it can be changed into another prime (10313001122233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5156500566116 + 5156500566117.

It is an arithmetic number, because the mean of its divisors is an integer number (5156500566117).

Almost surely, 2^{10313001132233} is an apocalyptic number.

It is an amenable number.

10313001132233 is a deficient number, since it is larger than the sum of its proper divisors (1).

10313001132233 is an equidigital number, since it uses as much as digits as its factorization.

10313001132233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 10313001132233 its reverse (33223110031301), we get a palindrome (43536111163534).

The spelling of 10313001132233 in words is "ten trillion, three hundred thirteen billion, one million, one hundred thirty-two thousand, two hundred thirty-three".