32131112129 has 2 divisors, whose sum is σ = 32131112130. Its totient is φ = 32131112128.

The previous prime is 32131112099. The next prime is 32131112227. The reversal of 32131112129 is 92121113123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27143221504 + 4987890625 = 164752^2 + 70625^2 .

It is a cyclic number.

It is not a de Polignac number, because 32131112129 - 2¹⁶ = 32131046593 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 32131112098 and 32131112107.

It is not a weakly prime, because it can be changed into another prime (32131112929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16065556064 + 16065556065.

It is an arithmetic number, because the mean of its divisors is an integer number (16065556065).

Almost surely, 2^32131112129 is an apocalyptic number.

It is an amenable number.

32131112129 is a deficient number, since it is larger than the sum of its proper divisors (1).

32131112129 is an equidigital number, since it uses as much as digits as its factorization.

32131112129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 648, while the sum is 26.

The spelling of 32131112129 in words is "thirty-two billion, one hundred thirty-one million, one hundred twelve thousand, one hundred twenty-nine".