313129 has 2 divisors, whose sum is σ = 313130. Its totient is φ = 313128.

The previous prime is 313127. The next prime is 313133. The reversal of 313129 is 921313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 189225 + 123904 = 435^2 + 352^2 .

It is a cyclic number.

It is not a de Polignac number, because 313129 - 2¹ = 313127 is a prime.

Together with 313127, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (313127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156564 + 156565.

It is an arithmetic number, because the mean of its divisors is an integer number (156565).

2³¹³¹²⁹ is an apocalyptic number.

It is an amenable number.

313129 is a deficient number, since it is larger than the sum of its proper divisors (1).

313129 is an equidigital number, since it uses as much as digits as its factorization.

313129 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 313129 is about 559.5793062650. The cubic root of 313129 is about 67.9059397330.

It can be divided in two parts, 3131 and 29, that added together give a triangular number (3160 = T₇₉).

The spelling of 313129 in words is "three hundred thirteen thousand, one hundred twenty-nine".