123241313201953 has 2 divisors, whose sum is σ = 123241313201954. Its totient is φ = 123241313201952.

The previous prime is 123241313201887. The next prime is 123241313202043. The reversal of 123241313201953 is 359102313142321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84685509315729 + 38555803886224 = 9202473^2 + 6209332^2 .

It is a cyclic number.

It is not a de Polignac number, because 123241313201953 - 2²⁹ = 123240776331041 is a prime.

It is not a weakly prime, because it can be changed into another prime (123241313201353) 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, 61620656600976 + 61620656600977.

It is an arithmetic number, because the mean of its divisors is an integer number (61620656600977).

Almost surely, 2^{123241313201953} is an apocalyptic number.

It is an amenable number.

123241313201953 is a deficient number, since it is larger than the sum of its proper divisors (1).

123241313201953 is an equidigital number, since it uses as much as digits as its factorization.

123241313201953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 123241313201953 in words is "one hundred twenty-three trillion, two hundred forty-one billion, three hundred thirteen million, two hundred one thousand, nine hundred fifty-three".