123313302001033 has 2 divisors, whose sum is σ = 123313302001034. Its totient is φ = 123313302001032.

The previous prime is 123313302000991. The next prime is 123313302001069. The reversal of 123313302001033 is 330100203313321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112915850158969 + 10397451842064 = 10626187^2 + 3224508^2 .

It is a cyclic number.

It is not a de Polignac number, because 123313302001033 - 2²⁵ = 123313268446601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123313302000989 and 123313302001007.

It is not a weakly prime, because it can be changed into another prime (123313302091033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61656651000516 + 61656651000517.

It is an arithmetic number, because the mean of its divisors is an integer number (61656651000517).

Almost surely, 2^{123313302001033} is an apocalyptic number.

It is an amenable number.

123313302001033 is a deficient number, since it is larger than the sum of its proper divisors (1).

123313302001033 is an equidigital number, since it uses as much as digits as its factorization.

123313302001033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 123313302001033 its reverse (330100203313321), we get a palindrome (453413505314354).

The spelling of 123313302001033 in words is "one hundred twenty-three trillion, three hundred thirteen billion, three hundred two million, one thousand, thirty-three".