123314418542201 has 2 divisors, whose sum is σ = 123314418542202. Its totient is φ = 123314418542200.

The previous prime is 123314418542179. The next prime is 123314418542209. The reversal of 123314418542201 is 102245814413321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97504960291600 + 25809458250601 = 9874460^2 + 5080301^2 .

It is a cyclic number.

It is not a de Polignac number, because 123314418542201 - 2⁶ = 123314418542137 is a prime.

It is a super-2 number, since 2×123314418542201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (123314418542209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61657209271100 + 61657209271101.

It is an arithmetic number, because the mean of its divisors is an integer number (61657209271101).

Almost surely, 2^{123314418542201} is an apocalyptic number.

It is an amenable number.

123314418542201 is a deficient number, since it is larger than the sum of its proper divisors (1).

123314418542201 is an equidigital number, since it uses as much as digits as its factorization.

123314418542201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 123314418542201 in words is "one hundred twenty-three trillion, three hundred fourteen billion, four hundred eighteen million, five hundred forty-two thousand, two hundred one".