313003414013827 has 2 divisors, whose sum is σ = 313003414013828. Its totient is φ = 313003414013826.

The previous prime is 313003414013767. The next prime is 313003414013833. The reversal of 313003414013827 is 728310414300313.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 313003414013827 - 2¹¹ = 313003414011779 is a prime.

It is a super-2 number, since 2×313003414013827² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 313003414013827.

It is not a weakly prime, because it can be changed into another prime (313003214013827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156501707006913 + 156501707006914.

It is an arithmetic number, because the mean of its divisors is an integer number (156501707006914).

Almost surely, 2^{313003414013827} is an apocalyptic number.

313003414013827 is a deficient number, since it is larger than the sum of its proper divisors (1).

313003414013827 is an equidigital number, since it uses as much as digits as its factorization.

313003414013827 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 313003414013827 in words is "three hundred thirteen trillion, three billion, four hundred fourteen million, thirteen thousand, eight hundred twenty-seven".