2003002313131 has 8 divisors (see below), whose sum is σ = 2034110319264. Its totient is φ = 1972129084800.

The previous prime is 2003002313129. The next prime is 2003002313141. The reversal of 2003002313131 is 1313132003002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2003002313131 - 2¹ = 2003002313129 is a prime.

It is a super-2 number, since 2×2003002313131² (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 = 2003002313099 and 2003002313108.

It is not an unprimeable number, because it can be changed into a prime (2003002313141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58677256 + ... + 58711381.

It is an arithmetic number, because the mean of its divisors is an integer number (254263789908).

Almost surely, 2^{2003002313131} is an apocalyptic number.

2003002313131 is a deficient number, since it is larger than the sum of its proper divisors (31108006133).

2003002313131 is a wasteful number, since it uses less digits than its factorization.

2003002313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117388901.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 2003002313131 its reverse (1313132003002), we get a palindrome (3316134316133).

The spelling of 2003002313131 in words is "two trillion, three billion, two million, three hundred thirteen thousand, one hundred thirty-one".