1031144122009 has 2 divisors, whose sum is σ = 1031144122010. Its totient is φ = 1031144122008.

The previous prime is 1031144122007. The next prime is 1031144122139. The reversal of 1031144122009 is 9002214411301.

1031144122009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 892972080784 + 138172041225 = 944972^2 + 371715^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031144122009 - 2¹ = 1031144122007 is a prime.

It is a super-2 number, since 2×1031144122009² (a number of 25 digits) contains 22 as substring.

Together with 1031144122007, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1031144122007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515572061004 + 515572061005.

It is an arithmetic number, because the mean of its divisors is an integer number (515572061005).

Almost surely, 2^{1031144122009} is an apocalyptic number.

It is an amenable number.

1031144122009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031144122009 is an equidigital number, since it uses as much as digits as its factorization.

1031144122009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 1031144122009 in words is "one trillion, thirty-one billion, one hundred forty-four million, one hundred twenty-two thousand, nine".