102503013 has 24 divisors (see below), whose sum is σ = 148290048. Its totient is φ = 62762112.

The previous prime is 102502963. The next prime is 102503017. The reversal of 102503013 is 310305201.

It is a happy number.

It is not a de Polignac number, because 102503013 - 2⁶ = 102502949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102502983 and 102503001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102503017) 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 in 23 ways as a sum of consecutive naturals, for example, 93756 + ... + 94842.

It is an arithmetic number, because the mean of its divisors is an integer number (6178752).

Almost surely, 2^102503013 is an apocalyptic number.

It is an amenable number.

102503013 is a deficient number, since it is larger than the sum of its proper divisors (45787035).

102503013 is a wasteful number, since it uses less digits than its factorization.

102503013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 102503013 is about 10124.3771660285. The cubic root of 102503013 is about 467.9996667030. Note that the first 3 decimals are identical.

Adding to 102503013 its reverse (310305201), we get a palindrome (412808214).

The spelling of 102503013 in words is "one hundred two million, five hundred three thousand, thirteen".