31122133122127 has 2 divisors, whose sum is σ = 31122133122128. Its totient is φ = 31122133122126.

The previous prime is 31122133122079. The next prime is 31122133122131. The reversal of 31122133122127 is 72122133122113.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 31122133122127 - 2¹⁹ = 31122132597839 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31122133122137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15561066561063 + 15561066561064.

It is an arithmetic number, because the mean of its divisors is an integer number (15561066561064).

Almost surely, 2^{31122133122127} is an apocalyptic number.

31122133122127 is a deficient number, since it is larger than the sum of its proper divisors (1).

31122133122127 is an equidigital number, since it uses as much as digits as its factorization.

31122133122127 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6048, while the sum is 31.

The spelling of 31122133122127 in words is "thirty-one trillion, one hundred twenty-two billion, one hundred thirty-three million, one hundred twenty-two thousand, one hundred twenty-seven".