131311100121029 has 2 divisors, whose sum is σ = 131311100121030. Its totient is φ = 131311100121028.

The previous prime is 131311100121001. The next prime is 131311100121161. The reversal of 131311100121029 is 920121001113131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94337124052900 + 36973976068129 = 9712730^2 + 6080623^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131311100121029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131311100120989 and 131311100121007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131311100121629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65655550060514 + 65655550060515.

It is an arithmetic number, because the mean of its divisors is an integer number (65655550060515).

Almost surely, 2^{131311100121029} is an apocalyptic number.

It is an amenable number.

131311100121029 is a deficient number, since it is larger than the sum of its proper divisors (1).

131311100121029 is an equidigital number, since it uses as much as digits as its factorization.

131311100121029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 26.

The spelling of 131311100121029 in words is "one hundred thirty-one trillion, three hundred eleven billion, one hundred million, one hundred twenty-one thousand, twenty-nine".