2003123133331 has 16 divisors (see below), whose sum is σ = 2065229654400. Its totient is φ = 1941438250368.

The previous prime is 2003123133313. The next prime is 2003123133337. The reversal of 2003123133331 is 1333313213002.

It is not a de Polignac number, because 2003123133331 - 2⁷ = 2003123133203 is a prime.

It is a super-2 number, since 2×2003123133331² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2003123133296 and 2003123133305.

It is not an unprimeable number, because it can be changed into a prime (2003123133337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90591105 + ... + 90613213.

It is an arithmetic number, because the mean of its divisors is an integer number (129076853400).

Almost surely, 2^{2003123133331} is an apocalyptic number.

2003123133331 is a deficient number, since it is larger than the sum of its proper divisors (62106521069).

2003123133331 is a wasteful number, since it uses less digits than its factorization.

2003123133331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31518.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 2003123133331 its reverse (1333313213002), we get a palindrome (3336436346333).

The spelling of 2003123133331 in words is "two trillion, three billion, one hundred twenty-three million, one hundred thirty-three thousand, three hundred thirty-one".