1022123131009 has 2 divisors, whose sum is σ = 1022123131010. Its totient is φ = 1022123131008.

The previous prime is 1022123130991. The next prime is 1022123131049. The reversal of 1022123131009 is 9001313212201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1002996241009 + 19126890000 = 1001497^2 + 138300^2 .

It is an emirp because it is prime and its reverse (9001313212201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1022123131009 - 2⁷ = 1022123130881 is a prime.

It is not a weakly prime, because it can be changed into another prime (1022123131049) 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, 511061565504 + 511061565505.

It is an arithmetic number, because the mean of its divisors is an integer number (511061565505).

Almost surely, 2^{1022123131009} is an apocalyptic number.

It is an amenable number.

1022123131009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022123131009 is an equidigital number, since it uses as much as digits as its factorization.

1022123131009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 25.

The spelling of 1022123131009 in words is "one trillion, twenty-two billion, one hundred twenty-three million, one hundred thirty-one thousand, nine".