1001012320321 has 8 divisors (see below), whose sum is σ = 1087903299560. Its totient is φ = 915534202752.

The previous prime is 1001012320309. The next prime is 1001012320349. The reversal of 1001012320321 is 1230232101001.

It can be written as a sum of positive squares in 4 ways, for example, as 209910585600 + 791101734721 = 458160^2 + 889439^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1001012320321 - 2⁵ = 1001012320289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001012320295 and 1001012320304.

It is not an unprimeable number, because it can be changed into a prime (1001012324321) 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 in 7 ways as a sum of consecutive naturals, for example, 353213940 + ... + 353216773.

It is an arithmetic number, because the mean of its divisors is an integer number (135987912445).

Almost surely, 2^{1001012320321} is an apocalyptic number.

It is an amenable number.

1001012320321 is a deficient number, since it is larger than the sum of its proper divisors (86890979239).

1001012320321 is a wasteful number, since it uses less digits than its factorization.

1001012320321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706430835.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1001012320321 its reverse (1230232101001), we get a palindrome (2231244421322).

The spelling of 1001012320321 in words is "one trillion, one billion, twelve million, three hundred twenty thousand, three hundred twenty-one".