10131330112109 has 2 divisors, whose sum is σ = 10131330112110. Its totient is φ = 10131330112108.

The previous prime is 10131330112091. The next prime is 10131330112117. The reversal of 10131330112109 is 90121103313101.

10131330112109 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (10131330112091) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9211965554884 + 919364557225 = 3035122^2 + 958835^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131330112109 - 2¹⁶ = 10131330046573 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10131330112199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065665056054 + 5065665056055.

It is an arithmetic number, because the mean of its divisors is an integer number (5065665056055).

Almost surely, 2^{10131330112109} is an apocalyptic number.

It is an amenable number.

10131330112109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131330112109 is an equidigital number, since it uses as much as digits as its factorization.

10131330112109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 26.

The spelling of 10131330112109 in words is "ten trillion, one hundred thirty-one billion, three hundred thirty million, one hundred twelve thousand, one hundred nine".