11121331101321 has 96 divisors (see below), whose sum is σ = 18341739214848. Its totient is φ = 5867369291520.

The previous prime is 11121331101289. The next prime is 11121331101323. The reversal of 11121331101321 is 12310113312111.

It is not a de Polignac number, because 11121331101321 - 2⁵ = 11121331101289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (11121331101323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 294328596 + ... + 294366378.

It is an arithmetic number, because the mean of its divisors is an integer number (191059783488).

Almost surely, 2^{11121331101321} is an apocalyptic number.

It is an amenable number.

11121331101321 is a deficient number, since it is larger than the sum of its proper divisors (7220408113527).

11121331101321 is a wasteful number, since it uses less digits than its factorization.

11121331101321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38819 (or 38800 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 11121331101321 its reverse (12310113312111), we get a palindrome (23431444413432).

The spelling of 11121331101321 in words is "eleven trillion, one hundred twenty-one billion, three hundred thirty-one million, one hundred one thousand, three hundred twenty-one".