101413289 has 2 divisors, whose sum is σ = 101413290. Its totient is φ = 101413288.

The previous prime is 101413259. The next prime is 101413303. The reversal of 101413289 is 982314101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59059225 + 42354064 = 7685^2 + 6508^2 .

It is a cyclic number.

It is not a de Polignac number, because 101413289 - 2²⁴ = 84636073 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101413219) 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, 50706644 + 50706645.

It is an arithmetic number, because the mean of its divisors is an integer number (50706645).

Almost surely, 2^101413289 is an apocalyptic number.

It is an amenable number.

101413289 is a deficient number, since it is larger than the sum of its proper divisors (1).

101413289 is an equidigital number, since it uses as much as digits as its factorization.

101413289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 101413289 is about 10070.4165256458. The cubic root of 101413289 is about 466.3352978085.

The spelling of 101413289 in words is "one hundred one million, four hundred thirteen thousand, two hundred eighty-nine".