1000113123329 has 2 divisors, whose sum is σ = 1000113123330. Its totient is φ = 1000113123328.

The previous prime is 1000113123323. The next prime is 1000113123353. The reversal of 1000113123329 is 9233213110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 897983664400 + 102129458929 = 947620^2 + 319577^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000113123329 - 2³² = 995818156033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000113123298 and 1000113123307.

It is not a weakly prime, because it can be changed into another prime (1000113123323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500056561664 + 500056561665.

It is an arithmetic number, because the mean of its divisors is an integer number (500056561665).

Almost surely, 2^{1000113123329} is an apocalyptic number.

It is an amenable number.

1000113123329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000113123329 is an equidigital number, since it uses as much as digits as its factorization.

1000113123329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 1000113123329 in words is "one trillion, one hundred thirteen million, one hundred twenty-three thousand, three hundred twenty-nine".