2002032013 has 8 divisors (see below), whose sum is σ = 2130900480. Its totient is φ = 1874397120.

The previous prime is 2002031981. The next prime is 2002032029. The reversal of 2002032013 is 3102302002.

It is a happy number.

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 2002032013 - 2⁵ = 2002031981 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002031984 and 2002032002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002032083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 305043 + ... + 311536.

It is an arithmetic number, because the mean of its divisors is an integer number (266362560).

Almost surely, 2^2002032013 is an apocalyptic number.

It is an amenable number.

2002032013 is a deficient number, since it is larger than the sum of its proper divisors (128868467).

2002032013 is a wasteful number, since it uses less digits than its factorization.

2002032013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616787.

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2002032013 is about 44744.0723783609. The cubic root of 2002032013 is about 1260.3476014598.

Adding to 2002032013 its reverse (3102302002), we get a palindrome (5104334015).

The spelling of 2002032013 in words is "two billion, two million, thirty-two thousand, thirteen".