102000320013 has 8 divisors (see below), whose sum is σ = 136037896576. Its totient is φ = 67981478400.

The previous prime is 102000319969. The next prime is 102000320057. The reversal of 102000320013 is 310023000201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102000319969) and next prime (102000320057).

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

It is not a de Polignac number, because 102000320013 - 2⁹ = 102000319501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000320083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4671028 + ... + 4692813.

It is an arithmetic number, because the mean of its divisors is an integer number (17004737072).

Almost surely, 2^102000320013 is an apocalyptic number.

It is an amenable number.

102000320013 is a deficient number, since it is larger than the sum of its proper divisors (34037576563).

102000320013 is an equidigital number, since it uses as much as digits as its factorization.

102000320013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9367475.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 102000320013 its reverse (310023000201), we get a palindrome (412023320214).

The spelling of 102000320013 in words is "one hundred two billion, three hundred twenty thousand, thirteen".