1001312331329 has 2 divisors, whose sum is σ = 1001312331330. Its totient is φ = 1001312331328.

The previous prime is 1001312331293. The next prime is 1001312331337. The reversal of 1001312331329 is 9231332131001.

It is a happy number.

Together with previous prime (1001312331293) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 812476890625 + 188835440704 = 901375^2 + 434552^2 .

It is an emirp because it is prime and its reverse (9231332131001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001312331329 - 2²⁰ = 1001311282753 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001312330329) 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, 500656165664 + 500656165665.

It is an arithmetic number, because the mean of its divisors is an integer number (500656165665).

Almost surely, 2^{1001312331329} is an apocalyptic number.

It is an amenable number.

1001312331329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001312331329 is an equidigital number, since it uses as much as digits as its factorization.

1001312331329 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 29.

The spelling of 1001312331329 in words is "one trillion, one billion, three hundred twelve million, three hundred thirty-one thousand, three hundred twenty-nine".