11736131121 has 64 divisors (see below), whose sum is σ = 20978845440. Its totient is φ = 6388139520.

The previous prime is 11736131093. The next prime is 11736131123. The reversal of 11736131121 is 12113163711.

11736131121 is a `hidden beast` number, since 1 + 17 + 3 + 613 + 11 + 21 = 666.

11736131121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11736131121 - 2¹³ = 11736122929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11736131123) 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 63 ways as a sum of consecutive naturals, for example, 101781 + ... + 183933.

It is an arithmetic number, because the mean of its divisors is an integer number (327794460).

Almost surely, 2^11736131121 is an apocalyptic number.

11736131121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11736131121 is a deficient number, since it is larger than the sum of its proper divisors (9242714319).

11736131121 is a wasteful number, since it uses less digits than its factorization.

11736131121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82223 (or 82217 counting only the distinct ones).

The product of its digits is 756, while the sum is 27.

Adding to 11736131121 its reverse (12113163711), we get a palindrome (23849294832).

The spelling of 11736131121 in words is "eleven billion, seven hundred thirty-six million, one hundred thirty-one thousand, one hundred twenty-one".