137322313 has 2 divisors, whose sum is σ = 137322314. Its totient is φ = 137322312.

The previous prime is 137322293. The next prime is 137322319. The reversal of 137322313 is 313223731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85525504 + 51796809 = 9248^2 + 7197^2 .

It is an emirp because it is prime and its reverse (313223731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137322313 - 2²¹ = 135225161 is a prime.

It is not a weakly prime, because it can be changed into another prime (137322319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68661156 + 68661157.

It is an arithmetic number, because the mean of its divisors is an integer number (68661157).

Almost surely, 2^137322313 is an apocalyptic number.

It is an amenable number.

137322313 is a deficient number, since it is larger than the sum of its proper divisors (1).

137322313 is an equidigital number, since it uses as much as digits as its factorization.

137322313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2268, while the sum is 25.

The square root of 137322313 is about 11718.4603510871. The cubic root of 137322313 is about 515.9176312746.

The spelling of 137322313 in words is "one hundred thirty-seven million, three hundred twenty-two thousand, three hundred thirteen".