2003121102113 has 16 divisors (see below), whose sum is σ = 2214795648000. Its totient is φ = 1803164101200.

The previous prime is 2003121102091. The next prime is 2003121102119. The reversal of 2003121102113 is 3112011213002.

It is a cyclic number.

It is not a de Polignac number, because 2003121102113 - 2²⁰ = 2003120053537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2003121102091 and 2003121102100.

It is not an unprimeable number, because it can be changed into a prime (2003121102119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15112163 + ... + 15244136.

It is an arithmetic number, because the mean of its divisors is an integer number (138424728000).

Almost surely, 2^{2003121102113} is an apocalyptic number.

2003121102113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2003121102113 is a deficient number, since it is larger than the sum of its proper divisors (211674545887).

2003121102113 is a wasteful number, since it uses less digits than its factorization.

2003121102113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30356492.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2003121102113 its reverse (3112011213002), we get a palindrome (5115132315115).

The spelling of 2003121102113 in words is "two trillion, three billion, one hundred twenty-one million, one hundred two thousand, one hundred thirteen".