313332137 has 2 divisors, whose sum is σ = 313332138. Its totient is φ = 313332136.

The previous prime is 313332121. The next prime is 313332143. The reversal of 313332137 is 731233313.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 292273216 + 21058921 = 17096^2 + 4589^2 .

It is an emirp because it is prime and its reverse (731233313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313332137 - 2⁴ = 313332121 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (313332157) 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, 156666068 + 156666069.

It is an arithmetic number, because the mean of its divisors is an integer number (156666069).

Almost surely, 2^313332137 is an apocalyptic number.

It is an amenable number.

313332137 is a deficient number, since it is larger than the sum of its proper divisors (1).

313332137 is an equidigital number, since it uses as much as digits as its factorization.

313332137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3402, while the sum is 26.

The square root of 313332137 is about 17701.1902707134. The cubic root of 313332137 is about 679.2062082506.

The spelling of 313332137 in words is "three hundred thirteen million, three hundred thirty-two thousand, one hundred thirty-seven".