11131101101 has 16 divisors (see below), whose sum is σ = 11962057968. Its totient is φ = 10320076800.

The previous prime is 11131101083. The next prime is 11131101109. The reversal of 11131101101 is 10110113111.

It can be written as a sum of positive squares in 8 ways, for example, as 32478601 + 11098622500 = 5699^2 + 105350^2 .

It is a cyclic number.

It is not a de Polignac number, because 11131101101 - 2²⁶ = 11063992237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131101109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1088231 + ... + 1098411.

It is an arithmetic number, because the mean of its divisors is an integer number (747628623).

Almost surely, 2^11131101101 is an apocalyptic number.

It is an amenable number.

11131101101 is a deficient number, since it is larger than the sum of its proper divisors (830956867).

11131101101 is a wasteful number, since it uses less digits than its factorization.

11131101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11152.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 11131101101 its reverse (10110113111), we get a palindrome (21241214212).

The spelling of 11131101101 in words is "eleven billion, one hundred thirty-one million, one hundred one thousand, one hundred one".