10031312033 has 2 divisors, whose sum is σ = 10031312034. Its totient is φ = 10031312032.

The previous prime is 10031311987. The next prime is 10031312051. The reversal of 10031312033 is 33021313001.

10031312033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8759462464 + 1271849569 = 93592^2 + 35663^2 .

It is an emirp because it is prime and its reverse (33021313001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10031312033 - 2⁸ = 10031311777 is a prime.

It is a super-2 number, since 2×10031312033² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10031312633) 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, 5015656016 + 5015656017.

It is an arithmetic number, because the mean of its divisors is an integer number (5015656017).

Almost surely, 2^10031312033 is an apocalyptic number.

It is an amenable number.

10031312033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031312033 is an equidigital number, since it uses as much as digits as its factorization.

10031312033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 10031312033 its reverse (33021313001), we get a palindrome (43052625034).

The spelling of 10031312033 in words is "ten billion, thirty-one million, three hundred twelve thousand, thirty-three".