2003102121213 has 24 divisors (see below), whose sum is σ = 2894911505720. Its totient is φ = 1334690058240.

The previous prime is 2003102121199. The next prime is 2003102121217. The reversal of 2003102121213 is 3121212013002.

2003102121213 is a `hidden beast` number, since 20 + 0 + 310 + 2 + 121 + 213 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 104072050404 + 1899030070809 = 322602^2 + 1378053^2 .

It is not a de Polignac number, because 2003102121213 - 2⁴⁰ = 903590493437 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 (2003102121217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231809373 + ... + 231818013.

Almost surely, 2^{2003102121213} is an apocalyptic number.

It is an amenable number.

2003102121213 is a deficient number, since it is larger than the sum of its proper divisors (891809384507).

2003102121213 is a wasteful number, since it uses less digits than its factorization.

2003102121213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19389 (or 19386 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2003102121213 its reverse (3121212013002), we get a palindrome (5124314134215).

The spelling of 2003102121213 in words is "two trillion, three billion, one hundred two million, one hundred twenty-one thousand, two hundred thirteen".