102322013 has 2 divisors, whose sum is σ = 102322014. Its totient is φ = 102322012.

The previous prime is 102321977. The next prime is 102322021. The reversal of 102322013 is 310223201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63409369 + 38912644 = 7963^2 + 6238^2 .

It is an emirp because it is prime and its reverse (310223201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102322013 - 2¹⁸ = 102059869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102322313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51161006 + 51161007.

It is an arithmetic number, because the mean of its divisors is an integer number (51161007).

Almost surely, 2^102322013 is an apocalyptic number.

It is an amenable number.

102322013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102322013 is an equidigital number, since it uses as much as digits as its factorization.

102322013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 102322013 is about 10115.4343950223. The cubic root of 102322013 is about 467.7240395277.

Adding to 102322013 its reverse (310223201), we get a palindrome (412545214).

The spelling of 102322013 in words is "one hundred two million, three hundred twenty-two thousand, thirteen".