10131030133109 has 2 divisors, whose sum is σ = 10131030133110. Its totient is φ = 10131030133108.

The previous prime is 10131030133099. The next prime is 10131030133117. The reversal of 10131030133109 is 90133103013101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7262674654225 + 2868355478884 = 2694935^2 + 1693622^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131030133109 - 2¹² = 10131030129013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10131030133309) 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, 5065515066554 + 5065515066555.

It is an arithmetic number, because the mean of its divisors is an integer number (5065515066555).

Almost surely, 2^{10131030133109} is an apocalyptic number.

It is an amenable number.

10131030133109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131030133109 is an equidigital number, since it uses as much as digits as its factorization.

10131030133109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 26.

The spelling of 10131030133109 in words is "ten trillion, one hundred thirty-one billion, thirty million, one hundred thirty-three thousand, one hundred nine".