11133101023121 has 24 divisors (see below), whose sum is σ = 14178013871904. Its totient is φ = 8644489318080.

The previous prime is 11133101023081. The next prime is 11133101023141. The reversal of 11133101023121 is 12132010133111.

It is not a de Polignac number, because 11133101023121 - 2¹⁰ = 11133101022097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11133101023093 and 11133101023102.

It is not an unprimeable number, because it can be changed into a prime (11133101023141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36340580 + ... + 36645653.

It is an arithmetic number, because the mean of its divisors is an integer number (590750577996).

Almost surely, 2^{11133101023121} is an apocalyptic number.

11133101023121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11133101023121 is a deficient number, since it is larger than the sum of its proper divisors (3044912848783).

11133101023121 is a wasteful number, since it uses less digits than its factorization.

11133101023121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72986541 (or 72986534 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 11133101023121 its reverse (12132010133111), we get a palindrome (23265111156232).

The spelling of 11133101023121 in words is "eleven trillion, one hundred thirty-three billion, one hundred one million, twenty-three thousand, one hundred twenty-one".