101131309 has 2 divisors, whose sum is σ = 101131310. Its totient is φ = 101131308.

The previous prime is 101131307. The next prime is 101131321. The reversal of 101131309 is 903131101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95942025 + 5189284 = 9795^2 + 2278^2 .

It is an emirp because it is prime and its reverse (903131101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101131309 - 2¹ = 101131307 is a prime.

Together with 101131307, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101131301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50565654 + 50565655.

It is an arithmetic number, because the mean of its divisors is an integer number (50565655).

Almost surely, 2^101131309 is an apocalyptic number.

It is an amenable number.

101131309 is a deficient number, since it is larger than the sum of its proper divisors (1).

101131309 is an equidigital number, since it uses as much as digits as its factorization.

101131309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 19.

The square root of 101131309 is about 10056.4063660932. The cubic root of 101131309 is about 465.9026809613.

The spelling of 101131309 in words is "one hundred one million, one hundred thirty-one thousand, three hundred nine".