31321312311229 has 2 divisors, whose sum is σ = 31321312311230. Its totient is φ = 31321312311228.

The previous prime is 31321312311197. The next prime is 31321312311241. The reversal of 31321312311229 is 92211321312313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18343832020900 + 12977480290329 = 4282970^2 + 3602427^2 .

It is a cyclic number.

It is not a de Polignac number, because 31321312311229 - 2⁵ = 31321312311197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31321312311194 and 31321312311203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31321312311329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15660656155614 + 15660656155615.

It is an arithmetic number, because the mean of its divisors is an integer number (15660656155615).

Almost surely, 2^{31321312311229} is an apocalyptic number.

It is an amenable number.

31321312311229 is a deficient number, since it is larger than the sum of its proper divisors (1).

31321312311229 is an equidigital number, since it uses as much as digits as its factorization.

31321312311229 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11664, while the sum is 34.

The spelling of 31321312311229 in words is "thirty-one trillion, three hundred twenty-one billion, three hundred twelve million, three hundred eleven thousand, two hundred twenty-nine".