2131123333109 has 2 divisors, whose sum is σ = 2131123333110. Its totient is φ = 2131123333108.

The previous prime is 2131123333043. The next prime is 2131123333147. The reversal of 2131123333109 is 9013333211312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1672164506884 + 458958826225 = 1293122^2 + 677465^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131123333109 - 2³² = 2126828365813 is a prime.

It is a super-2 number, since 2×2131123333109² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2131123333159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065561666554 + 1065561666555.

It is an arithmetic number, because the mean of its divisors is an integer number (1065561666555).

Almost surely, 2^{2131123333109} is an apocalyptic number.

It is an amenable number.

2131123333109 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131123333109 is an equidigital number, since it uses as much as digits as its factorization.

2131123333109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 32.

The spelling of 2131123333109 in words is "two trillion, one hundred thirty-one billion, one hundred twenty-three million, three hundred thirty-three thousand, one hundred nine".