1000313123 has 2 divisors, whose sum is σ = 1000313124. Its totient is φ = 1000313122.

The previous prime is 1000313077. The next prime is 1000313131. The reversal of 1000313123 is 3213130001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1000313123 - 2⁶ = 1000313059 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000313098 and 1000313107.

It is not a weakly prime, because it can be changed into another prime (1000313023) 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, 500156561 + 500156562.

It is an arithmetic number, because the mean of its divisors is an integer number (500156562).

Almost surely, 2^1000313123 is an apocalyptic number.

1000313123 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000313123 is an equidigital number, since it uses as much as digits as its factorization.

1000313123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1000313123 is about 31627.7271235225. The cubic root of 1000313123 is about 1000.1043634412.

Adding to 1000313123 its reverse (3213130001), we get a palindrome (4213443124).

The spelling of 1000313123 in words is "one billion, three hundred thirteen thousand, one hundred twenty-three".