123301400314109 has 2 divisors, whose sum is σ = 123301400314110. Its totient is φ = 123301400314108.

The previous prime is 123301400314073. The next prime is 123301400314123. The reversal of 123301400314109 is 901413004103321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118756530617209 + 4544869696900 = 10897547^2 + 2131870^2 .

It is a cyclic number.

It is not a de Polignac number, because 123301400314109 - 2²⁸ = 123301131878653 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123301400314409) 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, 61650700157054 + 61650700157055.

It is an arithmetic number, because the mean of its divisors is an integer number (61650700157055).

Almost surely, 2^{123301400314109} is an apocalyptic number.

It is an amenable number.

123301400314109 is a deficient number, since it is larger than the sum of its proper divisors (1).

123301400314109 is an equidigital number, since it uses as much as digits as its factorization.

123301400314109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 123301400314109 in words is "one hundred twenty-three trillion, three hundred one billion, four hundred million, three hundred fourteen thousand, one hundred nine".