131012224124129 has 2 divisors, whose sum is σ = 131012224124130. Its totient is φ = 131012224124128.

The previous prime is 131012224124123. The next prime is 131012224124269. The reversal of 131012224124129 is 921421422210131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121142447899729 + 9869776224400 = 11006473^2 + 3141620^2 .

It is a cyclic number.

It is not a de Polignac number, because 131012224124129 - 2⁴ = 131012224124113 is a prime.

It is not a weakly prime, because it can be changed into another prime (131012224124123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65506112062064 + 65506112062065.

It is an arithmetic number, because the mean of its divisors is an integer number (65506112062065).

Almost surely, 2^{131012224124129} is an apocalyptic number.

It is an amenable number.

131012224124129 is a deficient number, since it is larger than the sum of its proper divisors (1).

131012224124129 is an equidigital number, since it uses as much as digits as its factorization.

131012224124129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 131012224124129 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-four million, one hundred twenty-four thousand, one hundred twenty-nine".