11102133121311 has 16 divisors (see below), whose sum is σ = 15507985731840. Its totient is φ = 7051415448000.

The previous prime is 11102133121249. The next prime is 11102133121319. The reversal of 11102133121311 is 11312133120111.

It is not a de Polignac number, because 11102133121311 - 2³⁷ = 10964694167839 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102133121319) 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, 320501566 + ... + 320536203.

It is an arithmetic number, because the mean of its divisors is an integer number (969249108240).

Almost surely, 2^{11102133121311} is an apocalyptic number.

11102133121311 is a deficient number, since it is larger than the sum of its proper divisors (4405852610529).

11102133121311 is a wasteful number, since it uses less digits than its factorization.

11102133121311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641038046.

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

Adding to 11102133121311 its reverse (11312133120111), we get a palindrome (22414266241422).

The spelling of 11102133121311 in words is "eleven trillion, one hundred two billion, one hundred thirty-three million, one hundred twenty-one thousand, three hundred eleven".