129313 has 2 divisors, whose sum is σ = 129314. Its totient is φ = 129312.

The previous prime is 129293. The next prime is 129341. The reversal of 129313 is 313921.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117649 + 11664 = 343^2 + 108^2 .

It is an emirp because it is prime and its reverse (313921) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 129313 - 2⁵ = 129281 is a prime.

129313 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (129113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 64656 + 64657.

It is an arithmetic number, because the mean of its divisors is an integer number (64657).

2¹²⁹³¹³ is an apocalyptic number.

It is an amenable number.

129313 is a deficient number, since it is larger than the sum of its proper divisors (1).

129313 is an equidigital number, since it uses as much as digits as its factorization.

129313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 162, while the sum is 19.

The square root of 129313 is about 359.6011679625. The cubic root of 129313 is about 50.5685765724.

The spelling of 129313 in words is "one hundred twenty-nine thousand, three hundred thirteen".