123031132140481 has 2 divisors, whose sum is σ = 123031132140482. Its totient is φ = 123031132140480.

The previous prime is 123031132140401. The next prime is 123031132140533. The reversal of 123031132140481 is 184041231130321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123015604737600 + 15527402881 = 11091240^2 + 124609^2 .

It is an emirp because it is prime and its reverse (184041231130321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123031132140481 - 2⁷ = 123031132140353 is a prime.

It is a super-2 number, since 2×123031132140481² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (123031132140401) 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, 61515566070240 + 61515566070241.

It is an arithmetic number, because the mean of its divisors is an integer number (61515566070241).

Almost surely, 2^{123031132140481} is an apocalyptic number.

It is an amenable number.

123031132140481 is a deficient number, since it is larger than the sum of its proper divisors (1).

123031132140481 is an equidigital number, since it uses as much as digits as its factorization.

123031132140481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 123031132140481 in words is "one hundred twenty-three trillion, thirty-one billion, one hundred thirty-two million, one hundred forty thousand, four hundred eighty-one".