12101100313 has 2 divisors, whose sum is σ = 12101100314. Its totient is φ = 12101100312.

The previous prime is 12101100301. The next prime is 12101100353. The reversal of 12101100313 is 31300110121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10748920329 + 1352179984 = 103677^2 + 36772^2 .

It is a cyclic number.

It is not a de Polignac number, because 12101100313 - 2²⁹ = 11564229401 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12101100293 and 12101100302.

It is not a weakly prime, because it can be changed into another prime (12101100353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050550156 + 6050550157.

It is an arithmetic number, because the mean of its divisors is an integer number (6050550157).

Almost surely, 2^12101100313 is an apocalyptic number.

It is an amenable number.

12101100313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12101100313 is an equidigital number, since it uses as much as digits as its factorization.

12101100313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 12101100313 its reverse (31300110121), we get a palindrome (43401210434).

The spelling of 12101100313 in words is "twelve billion, one hundred one million, one hundred thousand, three hundred thirteen".