102005313 has 8 divisors (see below), whose sum is σ = 136472448. Its totient is φ = 67770864.

The previous prime is 102005311. The next prime is 102005327. The reversal of 102005313 is 313500201.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102005313 - 2¹ = 102005311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102005292 and 102005301.

It is not an unprimeable number, because it can be changed into a prime (102005311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57145 + ... + 58902.

It is an arithmetic number, because the mean of its divisors is an integer number (17059056).

Almost surely, 2^102005313 is an apocalyptic number.

It is an amenable number.

102005313 is a deficient number, since it is larger than the sum of its proper divisors (34467135).

102005313 is a wasteful number, since it uses less digits than its factorization.

102005313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116343.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 102005313 is about 10099.7679676317. The cubic root of 102005313 is about 467.2409851399.

Adding to 102005313 its reverse (313500201), we get a palindrome (415505514).

The spelling of 102005313 in words is "one hundred two million, five thousand, three hundred thirteen".