102003013013103 has 12 divisors (see below), whose sum is σ = 147338930433240. Its totient is φ = 68001434073936.

The previous prime is 102003013013047. The next prime is 102003013013129. The reversal of 102003013013103 is 301310310300201.

It is a happy number.

102003013013103 is a `hidden beast` number, since 1 + 0 + 20 + 0 + 30 + 1 + 301 + 310 + 3 = 666.

It is not a de Polignac number, because 102003013013103 - 2⁶ = 102003013013039 is a prime.

It is a super-2 number, since 2×102003013013103² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102003013013183) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46757773 + ... + 48890646.

It is an arithmetic number, because the mean of its divisors is an integer number (12278244202770).

Almost surely, 2^{102003013013103} is an apocalyptic number.

102003013013103 is a deficient number, since it is larger than the sum of its proper divisors (45335917420137).

102003013013103 is a wasteful number, since it uses less digits than its factorization.

102003013013103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95766918 (or 95766915 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 102003013013103 its reverse (301310310300201), we get a palindrome (403313323313304).

The spelling of 102003013013103 in words is "one hundred two trillion, three billion, thirteen million, thirteen thousand, one hundred three".