123314410545301 has 2 divisors, whose sum is σ = 123314410545302. Its totient is φ = 123314410545300.

The previous prime is 123314410545283. The next prime is 123314410545307. The reversal of 123314410545301 is 103545014413321.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100750001004900 + 22564409540401 = 10037430^2 + 4750201^2 .

It is a cyclic number.

It is not a de Polignac number, because 123314410545301 - 2¹⁵ = 123314410512533 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123314410545307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61657205272650 + 61657205272651.

It is an arithmetic number, because the mean of its divisors is an integer number (61657205272651).

Almost surely, 2^{123314410545301} is an apocalyptic number.

It is an amenable number.

123314410545301 is a deficient number, since it is larger than the sum of its proper divisors (1).

123314410545301 is an equidigital number, since it uses as much as digits as its factorization.

123314410545301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86400, while the sum is 37.

Adding to 123314410545301 its reverse (103545014413321), we get a palindrome (226859424958622).

The spelling of 123314410545301 in words is "one hundred twenty-three trillion, three hundred fourteen billion, four hundred ten million, five hundred forty-five thousand, three hundred one".