1000313313313 has 2 divisors, whose sum is σ = 1000313313314. Its totient is φ = 1000313313312.

The previous prime is 1000313313277. The next prime is 1000313313383. The reversal of 1000313313313 is 3133133130001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 777178006929 + 223135306384 = 881577^2 + 472372^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000313313313 - 2³³ = 991723378721 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000313313383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500156656656 + 500156656657.

It is an arithmetic number, because the mean of its divisors is an integer number (500156656657).

Almost surely, 2^{1000313313313} is an apocalyptic number.

It is an amenable number.

1000313313313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000313313313 is an equidigital number, since it uses as much as digits as its factorization.

1000313313313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 1000313313313 its reverse (3133133130001), we get a palindrome (4133446443314).

The spelling of 1000313313313 in words is "one trillion, three hundred thirteen million, three hundred thirteen thousand, three hundred thirteen".