123303212302033 has 2 divisors, whose sum is σ = 123303212302034. Its totient is φ = 123303212302032.

The previous prime is 123303212302019. The next prime is 123303212302057. The reversal of 123303212302033 is 330203212303321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105434432088129 + 17868780213904 = 10268127^2 + 4227148^2 .

It is a cyclic number.

It is not a de Polignac number, because 123303212302033 - 2⁵ = 123303212302001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123303212301992 and 123303212302010.

It is not a weakly prime, because it can be changed into another prime (123303212308033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61651606151016 + 61651606151017.

It is an arithmetic number, because the mean of its divisors is an integer number (61651606151017).

Almost surely, 2^{123303212302033} is an apocalyptic number.

It is an amenable number.

123303212302033 is a deficient number, since it is larger than the sum of its proper divisors (1).

123303212302033 is an equidigital number, since it uses as much as digits as its factorization.

123303212302033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 123303212302033 its reverse (330203212303321), we get a palindrome (453506424605354).

The spelling of 123303212302033 in words is "one hundred twenty-three trillion, three hundred three billion, two hundred twelve million, three hundred two thousand, thirty-three".