2002033131 has 12 divisors (see below), whose sum is σ = 3105194472. Its totient is φ = 1144018848.

The previous prime is 2002033129. The next prime is 2002033133. The reversal of 2002033131 is 1313302002.

It is an interprime number because it is at equal distance from previous prime (2002033129) and next prime (2002033133).

It is not a de Polignac number, because 2002033131 - 2¹ = 2002033129 is a prime.

It is a super-2 number, since 2×2002033131² = 8016273315243326322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2002033131.

It is not an unprimeable number, because it can be changed into a prime (2002033133) 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 11 ways as a sum of consecutive naturals, for example, 6809490 + ... + 6809783.

It is an arithmetic number, because the mean of its divisors is an integer number (258766206).

Almost surely, 2^2002033131 is an apocalyptic number.

2002033131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2002033131 is a deficient number, since it is larger than the sum of its proper divisors (1103161341).

2002033131 is a wasteful number, since it uses less digits than its factorization.

2002033131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13619290 (or 13619283 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2002033131 is about 44744.0848716341. The cubic root of 2002033131 is about 1260.3478360662.

Adding to 2002033131 its reverse (1313302002), we get a palindrome (3315335133).

The spelling of 2002033131 in words is "two billion, two million, thirty-three thousand, one hundred thirty-one".