123130302132113 has 2 divisors, whose sum is σ = 123130302132114. Its totient is φ = 123130302132112.

The previous prime is 123130302132083. The next prime is 123130302132137. The reversal of 123130302132113 is 311231203031321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85007975880529 + 38122326251584 = 9219977^2 + 6174328^2 .

It is a cyclic number.

It is not a de Polignac number, because 123130302132113 - 2³² = 123126007164817 is a prime.

It is a super-2 number, since 2×123130302132113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (123130304132113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61565151066056 + 61565151066057.

It is an arithmetic number, because the mean of its divisors is an integer number (61565151066057).

Almost surely, 2^{123130302132113} is an apocalyptic number.

It is an amenable number.

123130302132113 is a deficient number, since it is larger than the sum of its proper divisors (1).

123130302132113 is an equidigital number, since it uses as much as digits as its factorization.

123130302132113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 123130302132113 its reverse (311231203031321), we get a palindrome (434361505163434).

The spelling of 123130302132113 in words is "one hundred twenty-three trillion, one hundred thirty billion, three hundred two million, one hundred thirty-two thousand, one hundred thirteen".