123300433310993 has 2 divisors, whose sum is σ = 123300433310994. Its totient is φ = 123300433310992.

The previous prime is 123300433310911. The next prime is 123300433311037. The reversal of 123300433310993 is 399013334003321.

It is an a-pointer prime, because the next prime (123300433311037) can be obtained adding 123300433310993 to its sum of digits (44).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94884411984769 + 28416021326224 = 9740863^2 + 5330668^2 .

It is a cyclic number.

It is not a de Polignac number, because 123300433310993 - 2²⁶ = 123300366202129 is a prime.

It is not a weakly prime, because it can be changed into another prime (123300433810993) 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, 61650216655496 + 61650216655497.

It is an arithmetic number, because the mean of its divisors is an integer number (61650216655497).

Almost surely, 2^{123300433310993} is an apocalyptic number.

It is an amenable number.

123300433310993 is a deficient number, since it is larger than the sum of its proper divisors (1).

123300433310993 is an equidigital number, since it uses as much as digits as its factorization.

123300433310993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 472392, while the sum is 44.

The spelling of 123300433310993 in words is "one hundred twenty-three trillion, three hundred billion, four hundred thirty-three million, three hundred ten thousand, nine hundred ninety-three".