102000313 has 4 divisors (see below), whose sum is σ = 102113680. Its totient is φ = 101886948.

The previous prime is 102000299. The next prime is 102000359. The reversal of 102000313 is 313000201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 313000201 = 137 ⋅2284673.

It is a cyclic number.

It is not a de Polignac number, because 102000313 - 2²¹ = 99903161 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102000313.

It is not an unprimeable number, because it can be changed into a prime (102000373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55323 + ... + 57136.

It is an arithmetic number, because the mean of its divisors is an integer number (25528420).

Almost surely, 2^102000313 is an apocalyptic number.

It is an amenable number.

102000313 is a deficient number, since it is larger than the sum of its proper divisors (113367).

102000313 is an equidigital number, since it uses as much as digits as its factorization.

102000313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113366.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 102000313 is about 10099.5204341592. The cubic root of 102000313 is about 467.2333507562.

Adding to 102000313 its reverse (313000201), we get a palindrome (415000514).

The spelling of 102000313 in words is "one hundred two million, three hundred thirteen", and thus it is an aban number.