131112414409 has 2 divisors, whose sum is σ = 131112414410. Its totient is φ = 131112414408.

The previous prime is 131112414403. The next prime is 131112414469. The reversal of 131112414409 is 904414211131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 131096133184 + 16281225 = 362072^2 + 4035^2 .

It is a cyclic number.

It is not a de Polignac number, because 131112414409 - 2¹⁹ = 131111890121 is a prime.

It is not a weakly prime, because it can be changed into another prime (131112414403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65556207204 + 65556207205.

It is an arithmetic number, because the mean of its divisors is an integer number (65556207205).

Almost surely, 2^131112414409 is an apocalyptic number.

It is an amenable number.

131112414409 is a deficient number, since it is larger than the sum of its proper divisors (1).

131112414409 is an equidigital number, since it uses as much as digits as its factorization.

131112414409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 131112414409 in words is "one hundred thirty-one billion, one hundred twelve million, four hundred fourteen thousand, four hundred nine".