12131133101 has 2 divisors, whose sum is σ = 12131133102. Its totient is φ = 12131133100.

The previous prime is 12131133089. The next prime is 12131133127. The reversal of 12131133101 is 10133113121.

12131133101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8487199876 + 3643933225 = 92126^2 + 60365^2 .

It is an emirp because it is prime and its reverse (10133113121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12131133101 - 2²⁶ = 12064024237 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12131133101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12131123101) 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 as a sum of consecutive naturals, namely, 6065566550 + 6065566551.

It is an arithmetic number, because the mean of its divisors is an integer number (6065566551).

Almost surely, 2^12131133101 is an apocalyptic number.

It is an amenable number.

12131133101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12131133101 is an equidigital number, since it uses as much as digits as its factorization.

12131133101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 12131133101 its reverse (10133113121), we get a palindrome (22264246222).

The spelling of 12131133101 in words is "twelve billion, one hundred thirty-one million, one hundred thirty-three thousand, one hundred one".