1001111101321 has 16 divisors (see below), whose sum is σ = 1070371411200. Its totient is φ = 933038039808.

The previous prime is 1001111101273. The next prime is 1001111101343. The reversal of 1001111101321 is 1231011111001.

It is a cyclic number.

It is not a de Polignac number, because 1001111101321 - 2¹¹ = 1001111099273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001111101351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 374656 + ... + 1463758.

It is an arithmetic number, because the mean of its divisors is an integer number (66898213200).

Almost surely, 2^{1001111101321} is an apocalyptic number.

It is an amenable number.

1001111101321 is a deficient number, since it is larger than the sum of its proper divisors (69260309879).

1001111101321 is a wasteful number, since it uses less digits than its factorization.

1001111101321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089648.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 1001111101321 its reverse (1231011111001), we get a palindrome (2232122212322).

The spelling of 1001111101321 in words is "one trillion, one billion, one hundred eleven million, one hundred one thousand, three hundred twenty-one".