123323112100057 has 2 divisors, whose sum is σ = 123323112100058. Its totient is φ = 123323112100056.

The previous prime is 123323112099991. The next prime is 123323112100079. The reversal of 123323112100057 is 750001211323321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121886479728841 + 1436632371216 = 11040221^2 + 1198596^2 .

It is a cyclic number.

It is not a de Polignac number, because 123323112100057 - 2¹¹ = 123323112098009 is a prime.

It is not a weakly prime, because it can be changed into another prime (123323112103057) 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, 61661556050028 + 61661556050029.

It is an arithmetic number, because the mean of its divisors is an integer number (61661556050029).

Almost surely, 2^{123323112100057} is an apocalyptic number.

It is an amenable number.

123323112100057 is a deficient number, since it is larger than the sum of its proper divisors (1).

123323112100057 is an equidigital number, since it uses as much as digits as its factorization.

123323112100057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 31.

Adding to 123323112100057 its reverse (750001211323321), we get a palindrome (873324323423378).

The spelling of 123323112100057 in words is "one hundred twenty-three trillion, three hundred twenty-three billion, one hundred twelve million, one hundred thousand, fifty-seven".