102013 has 2 divisors, whose sum is σ = 102014. Its totient is φ = 102012.

The previous prime is 102001. The next prime is 102019. The reversal of 102013 is 310201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56644 + 45369 = 238^2 + 213^2 .

It is a cyclic number.

It is not a de Polignac number, because 102013 - 2⁹ = 101501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101987 and 102005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102019) 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, 51006 + 51007.

It is an arithmetic number, because the mean of its divisors is an integer number (51007).

2¹⁰²⁰¹³ is an apocalyptic number.

It is an amenable number.

102013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102013 is an equidigital number, since it uses as much as digits as its factorization.

102013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 102013 is about 319.3947400944. The cubic root of 102013 is about 46.7252721755.

Adding to 102013 its reverse (310201), we get a palindrome (412214).

It can be divided in two parts, 10201 and 3, that multiplied together give a palindrome (30603).

The spelling of 102013 in words is "one hundred two thousand, thirteen".