10131100009 has 2 divisors, whose sum is σ = 10131100010. Its totient is φ = 10131100008.

The previous prime is 10131099997. The next prime is 10131100019. The reversal of 10131100009 is 90000113101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9506250000 + 624850009 = 97500^2 + 24997^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131100009 - 2¹⁷ = 10130968937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10131099965 and 10131100001.

It is not a weakly prime, because it can be changed into another prime (10131100019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065550004 + 5065550005.

It is an arithmetic number, because the mean of its divisors is an integer number (5065550005).

Almost surely, 2^10131100009 is an apocalyptic number.

It is an amenable number.

10131100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131100009 is an equidigital number, since it uses as much as digits as its factorization.

10131100009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 16.

The spelling of 10131100009 in words is "ten billion, one hundred thirty-one million, one hundred thousand, nine".