31631632129 has 2 divisors, whose sum is σ = 31631632130. Its totient is φ = 31631632128.

The previous prime is 31631632127. The next prime is 31631632147. The reversal of 31631632129 is 92123613613.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24758393104 + 6873239025 = 157348^2 + 82905^2 .

It is a cyclic number.

It is not a de Polignac number, because 31631632129 - 2¹ = 31631632127 is a prime.

It is a super-2 number, since 2×31631632129² (a number of 22 digits) contains 22 as substring.

Together with 31631632127, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (31631632127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15815816064 + 15815816065.

It is an arithmetic number, because the mean of its divisors is an integer number (15815816065).

Almost surely, 2^31631632129 is an apocalyptic number.

It is an amenable number.

31631632129 is a deficient number, since it is larger than the sum of its proper divisors (1).

31631632129 is an equidigital number, since it uses as much as digits as its factorization.

31631632129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34992, while the sum is 37.

The spelling of 31631632129 in words is "thirty-one billion, six hundred thirty-one million, six hundred thirty-two thousand, one hundred twenty-nine".