101131210013209 has 2 divisors, whose sum is σ = 101131210013210. Its totient is φ = 101131210013208.

The previous prime is 101131210013177. The next prime is 101131210013213. The reversal of 101131210013209 is 902310012131101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91205307721609 + 9925902291600 = 9550147^2 + 3150540^2 .

It is a cyclic number.

It is not a de Polignac number, because 101131210013209 - 2⁵ = 101131210013177 is a prime.

It is not a weakly prime, because it can be changed into another prime (101131210013219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50565605006604 + 50565605006605.

It is an arithmetic number, because the mean of its divisors is an integer number (50565605006605).

Almost surely, 2^{101131210013209} is an apocalyptic number.

It is an amenable number.

101131210013209 is a deficient number, since it is larger than the sum of its proper divisors (1).

101131210013209 is an equidigital number, since it uses as much as digits as its factorization.

101131210013209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 25.

The spelling of 101131210013209 in words is "one hundred one trillion, one hundred thirty-one billion, two hundred ten million, thirteen thousand, two hundred nine".