131314321 has 2 divisors, whose sum is σ = 131314322. Its totient is φ = 131314320.

The previous prime is 131314319. The next prime is 131314327. The reversal of 131314321 is 123413131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75603025 + 55711296 = 8695^2 + 7464^2 .

It is an emirp because it is prime and its reverse (123413131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131314321 - 2¹ = 131314319 is a prime.

Together with 131314319, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (131314327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65657160 + 65657161.

It is an arithmetic number, because the mean of its divisors is an integer number (65657161).

Almost surely, 2^131314321 is an apocalyptic number.

It is an amenable number.

131314321 is a deficient number, since it is larger than the sum of its proper divisors (1).

131314321 is an equidigital number, since it uses as much as digits as its factorization.

131314321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 19.

The square root of 131314321 is about 11459.2460921301. The cubic root of 131314321 is about 508.2811815230.

Adding to 131314321 its reverse (123413131), we get a palindrome (254727452).

The spelling of 131314321 in words is "one hundred thirty-one million, three hundred fourteen thousand, three hundred twenty-one".