100011331309 has 2 divisors, whose sum is σ = 100011331310. Its totient is φ = 100011331308.

The previous prime is 100011331237. The next prime is 100011331333. The reversal of 100011331309 is 903133110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61294866084 + 38716465225 = 247578^2 + 196765^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011331309 - 2¹⁹ = 100010807021 is a prime.

It is a super-3 number, since 3×100011331309³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100011331309.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100011331369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005665654 + 50005665655.

It is an arithmetic number, because the mean of its divisors is an integer number (50005665655).

Almost surely, 2^100011331309 is an apocalyptic number.

It is an amenable number.

100011331309 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011331309 is an equidigital number, since it uses as much as digits as its factorization.

100011331309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 22.

The spelling of 100011331309 in words is "one hundred billion, eleven million, three hundred thirty-one thousand, three hundred nine".