12630640610033 has 2 divisors, whose sum is σ = 12630640610034. Its totient is φ = 12630640610032.

The previous prime is 12630640609997. The next prime is 12630640610053. The reversal of 12630640610033 is 33001604603621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11469520142224 + 1161120467809 = 3386668^2 + 1077553^2 .

It is a cyclic number.

It is not a de Polignac number, because 12630640610033 - 2¹⁰ = 12630640609009 is a prime.

It is a super-2 number, since 2×12630640610033² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12630640609975 and 12630640610002.

It is not a weakly prime, because it can be changed into another prime (12630640610053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6315320305016 + 6315320305017.

It is an arithmetic number, because the mean of its divisors is an integer number (6315320305017).

Almost surely, 2^{12630640610033} is an apocalyptic number.

It is an amenable number.

12630640610033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12630640610033 is an equidigital number, since it uses as much as digits as its factorization.

12630640610033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 35.

The spelling of 12630640610033 in words is "twelve trillion, six hundred thirty billion, six hundred forty million, six hundred ten thousand, thirty-three".