11131101241 has 16 divisors (see below), whose sum is σ = 12058474960. Its totient is φ = 10214035200.

The previous prime is 11131101197. The next prime is 11131101253. The reversal of 11131101241 is 14210113111.

11131101241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7225 + 11131094016 = 85^2 + 105504^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11131101241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11131131241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2179591 + ... + 2184691.

It is an arithmetic number, because the mean of its divisors is an integer number (753654685).

Almost surely, 2^11131101241 is an apocalyptic number.

It is an amenable number.

11131101241 is a deficient number, since it is larger than the sum of its proper divisors (927373719).

11131101241 is a wasteful number, since it uses less digits than its factorization.

11131101241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6076.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 11131101241 its reverse (14210113111), we get a palindrome (25341214352).

The spelling of 11131101241 in words is "eleven billion, one hundred thirty-one million, one hundred one thousand, two hundred forty-one".