102573313 has 2 divisors, whose sum is σ = 102573314. Its totient is φ = 102573312.

The previous prime is 102573311. The next prime is 102573323. The reversal of 102573313 is 313375201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64529089 + 38044224 = 8033^2 + 6168^2 .

It is an emirp because it is prime and its reverse (313375201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102573313 - 2¹ = 102573311 is a prime.

Together with 102573311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (102573311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51286656 + 51286657.

It is an arithmetic number, because the mean of its divisors is an integer number (51286657).

Almost surely, 2^102573313 is an apocalyptic number.

It is an amenable number.

102573313 is a deficient number, since it is larger than the sum of its proper divisors (1).

102573313 is an equidigital number, since it uses as much as digits as its factorization.

102573313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 102573313 is about 10127.8483894656. The cubic root of 102573313 is about 468.1066322027.

The spelling of 102573313 in words is "one hundred two million, five hundred seventy-three thousand, three hundred thirteen".