123132100303013 has 2 divisors, whose sum is σ = 123132100303014. Its totient is φ = 123132100303012.

The previous prime is 123132100302977. The next prime is 123132100303033. The reversal of 123132100303013 is 310303001231321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99299172220609 + 23832928082404 = 9964897^2 + 4881898^2 .

It is a cyclic number.

It is not a de Polignac number, because 123132100303013 - 2¹⁰ = 123132100301989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123132100303013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123132100303033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61566050151506 + 61566050151507.

It is an arithmetic number, because the mean of its divisors is an integer number (61566050151507).

Almost surely, 2^{123132100303013} is an apocalyptic number.

It is an amenable number.

123132100303013 is a deficient number, since it is larger than the sum of its proper divisors (1).

123132100303013 is an equidigital number, since it uses as much as digits as its factorization.

123132100303013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 123132100303013 its reverse (310303001231321), we get a palindrome (433435101534334).

The spelling of 123132100303013 in words is "one hundred twenty-three trillion, one hundred thirty-two billion, one hundred million, three hundred three thousand, thirteen".