11131113101033 has 16 divisors (see below), whose sum is σ = 11476510396416. Its totient is φ = 10790728988160.

The previous prime is 11131113101023. The next prime is 11131113101041. The reversal of 11131113101033 is 33010131113111.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11131113101033 - 2²⁰ = 11131112052457 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11131113100996 and 11131113101014.

It is not an unprimeable number, because it can be changed into a prime (11131113101023) 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, 569216 + ... + 4752497.

It is an arithmetic number, because the mean of its divisors is an integer number (717281899776).

Almost surely, 2^{11131113101033} is an apocalyptic number.

It is an amenable number.

11131113101033 is a deficient number, since it is larger than the sum of its proper divisors (345397295383).

11131113101033 is a wasteful number, since it uses less digits than its factorization.

11131113101033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5322184.

The product of its (nonzero) digits is 81, while the sum is 20.

Adding to 11131113101033 its reverse (33010131113111), we get a palindrome (44141244214144).

The spelling of 11131113101033 in words is "eleven trillion, one hundred thirty-one billion, one hundred thirteen million, one hundred one thousand, thirty-three".