10312103003329 has 2 divisors, whose sum is σ = 10312103003330. Its totient is φ = 10312103003328.

The previous prime is 10312103003309. The next prime is 10312103003333. The reversal of 10312103003329 is 92330030121301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7030860586929 + 3281242416400 = 2651577^2 + 1811420^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10312103003329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10312103003297 and 10312103003306.

It is not a weakly prime, because it can be changed into another prime (10312103003309) 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, 5156051501664 + 5156051501665.

It is an arithmetic number, because the mean of its divisors is an integer number (5156051501665).

Almost surely, 2^{10312103003329} is an apocalyptic number.

It is an amenable number.

10312103003329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10312103003329 is an equidigital number, since it uses as much as digits as its factorization.

10312103003329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 28.

The spelling of 10312103003329 in words is "ten trillion, three hundred twelve billion, one hundred three million, three thousand, three hundred twenty-nine".