102313200321 has 12 divisors (see below), whose sum is σ = 147788674020. Its totient is φ = 68207443200.

The previous prime is 102313200289. The next prime is 102313200349. The reversal of 102313200321 is 123002313201.

102313200321 is a `hidden beast` number, since 1 + 0 + 23 + 1 + 320 + 0 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78176160000 + 24137040321 = 279600^2 + 155361^2 .

It is not a de Polignac number, because 102313200321 - 2⁵ = 102313200289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102313200294 and 102313200303.

It is not an unprimeable number, because it can be changed into a prime (102313200221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 603225 + ... + 753993.

It is an arithmetic number, because the mean of its divisors is an integer number (12315722835).

Almost surely, 2^102313200321 is an apocalyptic number.

It is an amenable number.

102313200321 is a deficient number, since it is larger than the sum of its proper divisors (45475473699).

102313200321 is a wasteful number, since it uses less digits than its factorization.

102313200321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226176 (or 226173 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102313200321 its reverse (123002313201), we get a palindrome (225315513522).

The spelling of 102313200321 in words is "one hundred two billion, three hundred thirteen million, two hundred thousand, three hundred twenty-one".