313131193 has 2 divisors, whose sum is σ = 313131194. Its totient is φ = 313131192.

The previous prime is 313131163. The next prime is 313131251. The reversal of 313131193 is 391131313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 264647824 + 48483369 = 16268^2 + 6963^2 .

It is a cyclic number.

It is not a de Polignac number, because 313131193 - 2⁹ = 313130681 is a prime.

It is a super-2 number, since 2×313131193² = 196102288059206498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (313131163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156565596 + 156565597.

It is an arithmetic number, because the mean of its divisors is an integer number (156565597).

Almost surely, 2^313131193 is an apocalyptic number.

It is an amenable number.

313131193 is a deficient number, since it is larger than the sum of its proper divisors (1).

313131193 is an equidigital number, since it uses as much as digits as its factorization.

313131193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 729, while the sum is 25.

The square root of 313131193 is about 17695.5133579108. The cubic root of 313131193 is about 679.0609825912.

The spelling of 313131193 in words is "three hundred thirteen million, one hundred thirty-one thousand, one hundred ninety-three".