100311000313 has 2 divisors, whose sum is σ = 100311000314. Its totient is φ = 100311000312.

The previous prime is 100311000301. The next prime is 100311000397. The reversal of 100311000313 is 313000113001.

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., 68365515024 + 31945485289 = 261468^2 + 178733^2 .

It is a cyclic number.

It is not a de Polignac number, because 100311000313 - 2⁵ = 100311000281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100311000293 and 100311000302.

It is not a weakly prime, because it can be changed into another prime (100311010313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50155500156 + 50155500157.

It is an arithmetic number, because the mean of its divisors is an integer number (50155500157).

Almost surely, 2^100311000313 is an apocalyptic number.

It is an amenable number.

100311000313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100311000313 is an equidigital number, since it uses as much as digits as its factorization.

100311000313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 100311000313 its reverse (313000113001), we get a palindrome (413311113314).

The spelling of 100311000313 in words is "one hundred billion, three hundred eleven million, three hundred thirteen", and thus it is an aban number.