10001330321321 has 8 divisors (see below), whose sum is σ = 10623476603304. Its totient is φ = 9382943232000.

The previous prime is 10001330321309. The next prime is 10001330321327. The reversal of 10001330321321 is 12312303310001.

It can be written as a sum of positive squares in 4 ways, for example, as 98980081321 + 9902350240000 = 314611^2 + 3146800^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10001330321321 - 2¹⁰ = 10001330320297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001330321293 and 10001330321302.

It is not an unprimeable number, because it can be changed into a prime (10001330321327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 939792680 + ... + 939803321.

It is an arithmetic number, because the mean of its divisors is an integer number (1327934575413).

Almost surely, 2^{10001330321321} is an apocalyptic number.

It is an amenable number.

10001330321321 is a deficient number, since it is larger than the sum of its proper divisors (622146281983).

10001330321321 is a wasteful number, since it uses less digits than its factorization.

10001330321321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879596331.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 10001330321321 its reverse (12312303310001), we get a palindrome (22313633631322).

The spelling of 10001330321321 in words is "ten trillion, one billion, three hundred thirty million, three hundred twenty-one thousand, three hundred twenty-one".