100311313813 has 2 divisors, whose sum is σ = 100311313814. Its totient is φ = 100311313812.

The previous prime is 100311313811. The next prime is 100311313819. The reversal of 100311313813 is 318313113001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90758792644 + 9552521169 = 301262^2 + 97737^2 .

It is a cyclic number.

It is not a de Polignac number, because 100311313813 - 2¹ = 100311313811 is a prime.

Together with 100311313811, 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 (100311313811) 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, 50155656906 + 50155656907.

It is an arithmetic number, because the mean of its divisors is an integer number (50155656907).

Almost surely, 2^100311313813 is an apocalyptic number.

It is an amenable number.

100311313813 is a deficient number, since it is larger than the sum of its proper divisors (1).

100311313813 is an equidigital number, since it uses as much as digits as its factorization.

100311313813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 25.

Adding to 100311313813 its reverse (318313113001), we get a palindrome (418624426814).

The spelling of 100311313813 in words is "one hundred billion, three hundred eleven million, three hundred thirteen thousand, eight hundred thirteen".