123314330849201 has 2 divisors, whose sum is σ = 123314330849202. Its totient is φ = 123314330849200.

The previous prime is 123314330849153. The next prime is 123314330849219. The reversal of 123314330849201 is 102948033413321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100367356759201 + 22946974090000 = 10018351^2 + 4790300^2 .

It is a cyclic number.

It is not a de Polignac number, because 123314330849201 - 2¹⁴ = 123314330832817 is a prime.

It is not a weakly prime, because it can be changed into another prime (123314330849221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61657165424600 + 61657165424601.

It is an arithmetic number, because the mean of its divisors is an integer number (61657165424601).

Almost surely, 2^{123314330849201} is an apocalyptic number.

It is an amenable number.

123314330849201 is a deficient number, since it is larger than the sum of its proper divisors (1).

123314330849201 is an equidigital number, since it uses as much as digits as its factorization.

123314330849201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 373248, while the sum is 44.

The spelling of 123314330849201 in words is "one hundred twenty-three trillion, three hundred fourteen billion, three hundred thirty million, eight hundred forty-nine thousand, two hundred one".