123144134220361 has 2 divisors, whose sum is σ = 123144134220362. Its totient is φ = 123144134220360.

The previous prime is 123144134220271. The next prime is 123144134220377. The reversal of 123144134220361 is 163022431441321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117302849454736 + 5841284765625 = 10830644^2 + 2416875^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-123144134220361 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123144134220361.

It is not a weakly prime, because it can be changed into another prime (123144134220391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61572067110180 + 61572067110181.

It is an arithmetic number, because the mean of its divisors is an integer number (61572067110181).

Almost surely, 2^{123144134220361} is an apocalyptic number.

It is an amenable number.

123144134220361 is a deficient number, since it is larger than the sum of its proper divisors (1).

123144134220361 is an equidigital number, since it uses as much as digits as its factorization.

123144134220361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 82944, while the sum is 37.

Adding to 123144134220361 its reverse (163022431441321), we get a palindrome (286166565661682).

The spelling of 123144134220361 in words is "one hundred twenty-three trillion, one hundred forty-four billion, one hundred thirty-four million, two hundred twenty thousand, three hundred sixty-one".