11132101002113 has 24 divisors (see below), whose sum is σ = 14426595487080. Its totient is φ = 8504098364160.

The previous prime is 11132101002107. The next prime is 11132101002227. The reversal of 11132101002113 is 31120010123111.

It can be written as a sum of positive squares in 4 ways, for example, as 602413479409 + 10529687522704 = 776153^2 + 3244948^2 .

It is not a de Polignac number, because 11132101002113 - 2¹⁰ = 11132101001089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11132101002091 and 11132101002100.

It is not an unprimeable number, because it can be changed into a prime (11132101002613) 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, 301288868 + ... + 301325813.

It is an arithmetic number, because the mean of its divisors is an integer number (601108145295).

Almost surely, 2^{11132101002113} is an apocalyptic number.

11132101002113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11132101002113 is a deficient number, since it is larger than the sum of its proper divisors (3294494484967).

11132101002113 is a wasteful number, since it uses less digits than its factorization.

11132101002113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602614737 (or 602614730 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 11132101002113 its reverse (31120010123111), we get a palindrome (42252111125224).

The spelling of 11132101002113 in words is "eleven trillion, one hundred thirty-two billion, one hundred one million, two thousand, one hundred thirteen".