11101331123229 has 48 divisors (see below), whose sum is σ = 16000183756800. Its totient is φ = 6843200576256.

The previous prime is 11101331123219. The next prime is 11101331123243. The reversal of 11101331123229 is 92232113310111.

It is not a de Polignac number, because 11101331123229 - 2¹² = 11101331119133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11101331123196 and 11101331123205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101331123209) 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 47 ways as a sum of consecutive naturals, for example, 82749684 + ... + 82883730.

It is an arithmetic number, because the mean of its divisors is an integer number (333337161600).

Almost surely, 2^{11101331123229} is an apocalyptic number.

It is an amenable number.

11101331123229 is a deficient number, since it is larger than the sum of its proper divisors (4898852633571).

11101331123229 is a wasteful number, since it uses less digits than its factorization.

11101331123229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135762 (or 135745 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The spelling of 11101331123229 in words is "eleven trillion, one hundred one billion, three hundred thirty-one million, one hundred twenty-three thousand, two hundred twenty-nine".