10312220032033 has 2 divisors, whose sum is σ = 10312220032034. Its totient is φ = 10312220032032.

The previous prime is 10312220032027. The next prime is 10312220032087. The reversal of 10312220032033 is 33023002221301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6032191426704 + 4280028605329 = 2456052^2 + 2068823^2 .

It is a cyclic number.

It is not a de Polignac number, because 10312220032033 - 2⁴¹ = 8113196776481 is a prime.

It is a super-2 number, since 2×10312220032033² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10312220031995 and 10312220032013.

It is not a weakly prime, because it can be changed into another prime (10312220030033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5156110016016 + 5156110016017.

It is an arithmetic number, because the mean of its divisors is an integer number (5156110016017).

Almost surely, 2^{10312220032033} is an apocalyptic number.

It is an amenable number.

10312220032033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10312220032033 is an equidigital number, since it uses as much as digits as its factorization.

10312220032033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 10312220032033 its reverse (33023002221301), we get a palindrome (43335222253334).

The spelling of 10312220032033 in words is "ten trillion, three hundred twelve billion, two hundred twenty million, thirty-two thousand, thirty-three".