102001313 has 2 divisors, whose sum is σ = 102001314. Its totient is φ = 102001312.

The previous prime is 102001279. The next prime is 102001349. The reversal of 102001313 is 313100201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75550864 + 26450449 = 8692^2 + 5143^2 .

It is an emirp because it is prime and its reverse (313100201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102001313 - 2¹⁴ = 101984929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102001294 and 102001303.

It is not a weakly prime, because it can be changed into another prime (102001363) 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 as a sum of consecutive naturals, namely, 51000656 + 51000657.

It is an arithmetic number, because the mean of its divisors is an integer number (51000657).

Almost surely, 2^102001313 is an apocalyptic number.

It is an amenable number.

102001313 is a deficient number, since it is larger than the sum of its proper divisors (1).

102001313 is an equidigital number, since it uses as much as digits as its factorization.

102001313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 102001313 is about 10099.5699413391. The cubic root of 102001313 is about 467.2348776529.

Adding to 102001313 its reverse (313100201), we get a palindrome (415101514).

The spelling of 102001313 in words is "one hundred two million, one thousand, three hundred thirteen".