11513000241 has 12 divisors (see below), whose sum is σ = 16646923332. Its totient is φ = 7667471616.

The previous prime is 11513000237. The next prime is 11513000263. The reversal of 11513000241 is 14200031511.

11513000241 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 2 ways, for example, as 8817210000 + 2695790241 = 93900^2 + 51921^2 .

It is not a de Polignac number, because 11513000241 - 2² = 11513000237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11523000241) 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 11 ways as a sum of consecutive naturals, for example, 645876 + ... + 663461.

It is an arithmetic number, because the mean of its divisors is an integer number (1387243611).

Almost surely, 2^11513000241 is an apocalyptic number.

It is an amenable number.

11513000241 is a deficient number, since it is larger than the sum of its proper divisors (5133923091).

11513000241 is a wasteful number, since it uses less digits than its factorization.

11513000241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310320 (or 1310317 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 11513000241 its reverse (14200031511), we get a palindrome (25713031752).

The spelling of 11513000241 in words is "eleven billion, five hundred thirteen million, two hundred forty-one", and thus it is an aban number.