31130122221329 has 2 divisors, whose sum is σ = 31130122221330. Its totient is φ = 31130122221328.

The previous prime is 31130122221283. The next prime is 31130122221361. The reversal of 31130122221329 is 92312222103113.

It is an a-pointer prime, because the next prime (31130122221361) can be obtained adding 31130122221329 to its sum of digits (32).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24864912979729 + 6265209241600 = 4986473^2 + 2503040^2 .

It is a cyclic number.

It is not a de Polignac number, because 31130122221329 - 2³² = 31125827254033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31130122221295 and 31130122221304.

It is not a weakly prime, because it can be changed into another prime (31130122221379) 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, 15565061110664 + 15565061110665.

It is an arithmetic number, because the mean of its divisors is an integer number (15565061110665).

Almost surely, 2^{31130122221329} is an apocalyptic number.

It is an amenable number.

31130122221329 is a deficient number, since it is larger than the sum of its proper divisors (1).

31130122221329 is an equidigital number, since it uses as much as digits as its factorization.

31130122221329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 31130122221329 in words is "thirty-one trillion, one hundred thirty billion, one hundred twenty-two million, two hundred twenty-one thousand, three hundred twenty-nine".