10031311309 has 2 divisors, whose sum is σ = 10031311310. Its totient is φ = 10031311308.

The previous prime is 10031311291. The next prime is 10031311331. The reversal of 10031311309 is 90311313001.

10031311309 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (10031311331) can be obtained adding 10031311309 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5859443209 + 4171868100 = 76547^2 + 64590^2 .

It is a cyclic number.

It is not a de Polignac number, because 10031311309 - 2¹⁵ = 10031278541 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10031311309.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10031311109) 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, 5015655654 + 5015655655.

It is an arithmetic number, because the mean of its divisors is an integer number (5015655655).

Almost surely, 2^10031311309 is an apocalyptic number.

It is an amenable number.

10031311309 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031311309 is an equidigital number, since it uses as much as digits as its factorization.

10031311309 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 10031311309 in words is "ten billion, thirty-one million, three hundred eleven thousand, three hundred nine".