313314137 has 2 divisors, whose sum is σ = 313314138. Its totient is φ = 313314136.

The previous prime is 313314107. The next prime is 313314163. The reversal of 313314137 is 731413313.

It is an a-pointer prime, because the next prime (313314163) can be obtained adding 313314137 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 313254601 + 59536 = 17699^2 + 244^2 .

It is a cyclic number.

It is not a de Polignac number, because 313314137 - 2¹⁰ = 313313113 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (313314107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156657068 + 156657069.

It is an arithmetic number, because the mean of its divisors is an integer number (156657069).

Almost surely, 2^313314137 is an apocalyptic number.

It is an amenable number.

313314137 is a deficient number, since it is larger than the sum of its proper divisors (1).

313314137 is an equidigital number, since it uses as much as digits as its factorization.

313314137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2268, while the sum is 26.

The square root of 313314137 is about 17700.6818230259. The cubic root of 313314137 is about 679.1932018756.

The spelling of 313314137 in words is "three hundred thirteen million, three hundred fourteen thousand, one hundred thirty-seven".