31132731242729 has 2 divisors, whose sum is σ = 31132731242730. Its totient is φ = 31132731242728.

The previous prime is 31132731242681. The next prime is 31132731242773. The reversal of 31132731242729 is 92724213723113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20314157737129 + 10818573505600 = 4507123^2 + 3289160^2 .

It is a cyclic number.

It is not a de Polignac number, because 31132731242729 - 2⁴⁰ = 30033219614953 is a prime.

It is a super-3 number, since 3×31132731242729³ (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (31132731245729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15566365621364 + 15566365621365.

It is an arithmetic number, because the mean of its divisors is an integer number (15566365621365).

Almost surely, 2^{31132731242729} is an apocalyptic number.

It is an amenable number.

31132731242729 is a deficient number, since it is larger than the sum of its proper divisors (1).

31132731242729 is an equidigital number, since it uses as much as digits as its factorization.

31132731242729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 762048, while the sum is 47.

The spelling of 31132731242729 in words is "thirty-one trillion, one hundred thirty-two billion, seven hundred thirty-one million, two hundred forty-two thousand, seven hundred twenty-nine".