2003121100113 has 16 divisors (see below), whose sum is σ = 3082009721856. Its totient is φ = 1133527611600.

The previous prime is 2003121100093. The next prime is 2003121100121. The reversal of 2003121100113 is 3110011213002.

It is a happy number.

It is not a de Polignac number, because 2003121100113 - 2²⁹ = 2002584229201 is a prime.

It is a super-2 number, since 2×2003121100113² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2003121100092 and 2003121100101.

It is not an unprimeable number, because it can be changed into a prime (2003111100113) 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, 463040163 + ... + 463044488.

It is an arithmetic number, because the mean of its divisors is an integer number (192625607616).

Almost surely, 2^{2003121100113} is an apocalyptic number.

It is an amenable number.

2003121100113 is a deficient number, since it is larger than the sum of its proper divisors (1078888621743).

2003121100113 is a wasteful number, since it uses less digits than its factorization.

2003121100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926084764.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2003121100113 its reverse (3110011213002), we get a palindrome (5113132313115).

The spelling of 2003121100113 in words is "two trillion, three billion, one hundred twenty-one million, one hundred thousand, one hundred thirteen".