1001313221321 has 16 divisors (see below), whose sum is σ = 1204798220160. Its totient is φ = 812954102400.

The previous prime is 1001313221309. The next prime is 1001313221347. The reversal of 1001313221321 is 1231223131001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001313221321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001313221293 and 1001313221302.

It is not an unprimeable number, because it can be changed into a prime (1001313221371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106871 + ... + 1419171.

It is an arithmetic number, because the mean of its divisors is an integer number (75299888760).

Almost surely, 2^{1001313221321} is an apocalyptic number.

It is an amenable number.

1001313221321 is a deficient number, since it is larger than the sum of its proper divisors (203484998839).

1001313221321 is a wasteful number, since it uses less digits than its factorization.

1001313221321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318064.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1001313221321 its reverse (1231223131001), we get a palindrome (2232536352322).

The spelling of 1001313221321 in words is "one trillion, one billion, three hundred thirteen million, two hundred twenty-one thousand, three hundred twenty-one".