10131113120189 has 2 divisors, whose sum is σ = 10131113120190. Its totient is φ = 10131113120188.

The previous prime is 10131113120153. The next prime is 10131113120231. The reversal of 10131113120189 is 98102131113101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9599723148964 + 531389971225 = 3098342^2 + 728965^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131113120189 - 2¹² = 10131113116093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10131113120129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065556560094 + 5065556560095.

It is an arithmetic number, because the mean of its divisors is an integer number (5065556560095).

Almost surely, 2^{10131113120189} is an apocalyptic number.

It is an amenable number.

10131113120189 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131113120189 is an equidigital number, since it uses as much as digits as its factorization.

10131113120189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 32.

The spelling of 10131113120189 in words is "ten trillion, one hundred thirty-one billion, one hundred thirteen million, one hundred twenty thousand, one hundred eighty-nine".