102013301 has 16 divisors (see below), whose sum is σ = 112526400. Its totient is φ = 92452464.

The previous prime is 102013259. The next prime is 102013361. The reversal of 102013301 is 103310201.

It is not a de Polignac number, because 102013301 - 2¹⁰ = 102012277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102013361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129230 + ... + 130016.

It is an arithmetic number, because the mean of its divisors is an integer number (7032900).

Almost surely, 2^102013301 is an apocalyptic number.

It is an amenable number.

102013301 is a deficient number, since it is larger than the sum of its proper divisors (10513099).

102013301 is an frugal number, since it uses more digits than its factorization.

102013301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 859 counting only the distinct ones).

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

The square root of 102013301 is about 10100.1634145196. The cubic root of 102013301 is about 467.2531813137.

Adding to 102013301 its reverse (103310201), we get a palindrome (205323502).

The spelling of 102013301 in words is "one hundred two million, thirteen thousand, three hundred one".