10012331121329 has 2 divisors, whose sum is σ = 10012331121330. Its totient is φ = 10012331121328.

The previous prime is 10012331121301. The next prime is 10012331121367. The reversal of 10012331121329 is 92312113321001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5485338726400 + 4526992394929 = 2342080^2 + 2127673^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10012331121329 is a prime.

It is not a weakly prime, because it can be changed into another prime (10012331127329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006165560664 + 5006165560665.

It is an arithmetic number, because the mean of its divisors is an integer number (5006165560665).

Almost surely, 2^{10012331121329} is an apocalyptic number.

It is an amenable number.

10012331121329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012331121329 is an equidigital number, since it uses as much as digits as its factorization.

10012331121329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 10012331121329 in words is "ten trillion, twelve billion, three hundred thirty-one million, one hundred twenty-one thousand, three hundred twenty-nine".