11031103132101 has 20 divisors (see below), whose sum is σ = 17746143122092. Its totient is φ = 6788371157568.

The previous prime is 11031103132097. The next prime is 11031103132199. The reversal of 11031103132101 is 10123130113011.

11031103132101 is a `hidden beast` number, since 1 + 1 + 0 + 311 + 0 + 31 + 321 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2398700903076 + 8632402229025 = 1548774^2 + 2938095^2 .

It is not a de Polignac number, because 11031103132101 - 2² = 11031103132097 is a prime.

It is a super-2 number, since 2×11031103132101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11031103130101) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5237939656 + ... + 5237941761.

Almost surely, 2^{11031103132101} is an apocalyptic number.

It is an amenable number.

11031103132101 is a deficient number, since it is larger than the sum of its proper divisors (6715039989991).

11031103132101 is a wasteful number, since it uses less digits than its factorization.

11031103132101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10475881442 (or 10475881433 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 11031103132101 its reverse (10123130113011), we get a palindrome (21154233245112).

The spelling of 11031103132101 in words is "eleven trillion, thirty-one billion, one hundred three million, one hundred thirty-two thousand, one hundred one".