131123313123029 has 2 divisors, whose sum is σ = 131123313123030. Its totient is φ = 131123313123028.

The previous prime is 131123313123001. The next prime is 131123313123041. The reversal of 131123313123029 is 920321313321131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103031087078929 + 28092226044100 = 10150423^2 + 5300210^2 .

It is a cyclic number.

It is not a de Polignac number, because 131123313123029 - 2⁴⁴ = 113531127078613 is a prime.

It is a super-3 number, since 3×131123313123029³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131123313123029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131123313123079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65561656561514 + 65561656561515.

It is an arithmetic number, because the mean of its divisors is an integer number (65561656561515).

Almost surely, 2^{131123313123029} is an apocalyptic number.

It is an amenable number.

131123313123029 is a deficient number, since it is larger than the sum of its proper divisors (1).

131123313123029 is an equidigital number, since it uses as much as digits as its factorization.

131123313123029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 35.

The spelling of 131123313123029 in words is "one hundred thirty-one trillion, one hundred twenty-three billion, three hundred thirteen million, one hundred twenty-three thousand, twenty-nine".