10212311312033 has 2 divisors, whose sum is σ = 10212311312034. Its totient is φ = 10212311312032.

The previous prime is 10212311312003. The next prime is 10212311312111. The reversal of 10212311312033 is 33021311321201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6632128885264 + 3580182426769 = 2575292^2 + 1892137^2 .

It is a cyclic number.

It is not a de Polignac number, because 10212311312033 - 2¹⁶ = 10212311246497 is a prime.

It is not a weakly prime, because it can be changed into another prime (10212311312003) 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, 5106155656016 + 5106155656017.

It is an arithmetic number, because the mean of its divisors is an integer number (5106155656017).

Almost surely, 2^{10212311312033} is an apocalyptic number.

It is an amenable number.

10212311312033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212311312033 is an equidigital number, since it uses as much as digits as its factorization.

10212311312033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 10212311312033 its reverse (33021311321201), we get a palindrome (43233622633234).

The spelling of 10212311312033 in words is "ten trillion, two hundred twelve billion, three hundred eleven million, three hundred twelve thousand, thirty-three".