313011331093 has 2 divisors, whose sum is σ = 313011331094. Its totient is φ = 313011331092.

The previous prime is 313011331091. The next prime is 313011331111. The reversal of 313011331093 is 390133110313.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 156987911089 + 156023420004 = 396217^2 + 394998^2 .

It is a cyclic number.

It is not a de Polignac number, because 313011331093 - 2¹ = 313011331091 is a prime.

It is a super-2 number, since 2×313011331093² (a number of 24 digits) contains 22 as substring.

Together with 313011331091, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313011331091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156505665546 + 156505665547.

It is an arithmetic number, because the mean of its divisors is an integer number (156505665547).

Almost surely, 2^313011331093 is an apocalyptic number.

It is an amenable number.

313011331093 is a deficient number, since it is larger than the sum of its proper divisors (1).

313011331093 is an equidigital number, since it uses as much as digits as its factorization.

313011331093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2187, while the sum is 28.

The spelling of 313011331093 in words is "three hundred thirteen billion, eleven million, three hundred thirty-one thousand, ninety-three".