101311289 has 2 divisors, whose sum is σ = 101311290. Its totient is φ = 101311288.

The previous prime is 101311271. The next prime is 101311307. The reversal of 101311289 is 982113101.

It is a balanced prime because it is at equal distance from previous prime (101311271) and next prime (101311307).

It can be written as a sum of positive squares in only one way, i.e., 71149225 + 30162064 = 8435^2 + 5492^2 .

It is a cyclic number.

It is not a de Polignac number, because 101311289 - 2⁸ = 101311033 is a prime.

It is not a weakly prime, because it can be changed into another prime (101311219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50655644 + 50655645.

It is an arithmetic number, because the mean of its divisors is an integer number (50655645).

Almost surely, 2^101311289 is an apocalyptic number.

It is an amenable number.

101311289 is a deficient number, since it is larger than the sum of its proper divisors (1).

101311289 is an equidigital number, since it uses as much as digits as its factorization.

101311289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 26.

The square root of 101311289 is about 10065.3509129091. The cubic root of 101311289 is about 466.1789009598.

The spelling of 101311289 in words is "one hundred one million, three hundred eleven thousand, two hundred eighty-nine".