2000033013 has 32 divisors (see below), whose sum is σ = 3024709632. Its totient is φ = 1164873600.

The previous prime is 2000032973. The next prime is 2000033029. The reversal of 2000033013 is 3103300002.

It is a happy number.

It is not a de Polignac number, because 2000033013 - 2²⁵ = 1966478581 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2000033013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000033083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79620 + ... + 101682.

It is an arithmetic number, because the mean of its divisors is an integer number (94522176).

Almost surely, 2^2000033013 is an apocalyptic number.

It is an amenable number.

2000033013 is a deficient number, since it is larger than the sum of its proper divisors (1024676619).

2000033013 is a wasteful number, since it uses less digits than its factorization.

2000033013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22185.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 2000033013 is about 44721.7286450334. The cubic root of 2000033013 is about 1259.9279821523.

Adding to 2000033013 its reverse (3103300002), we get a palindrome (5103333015).

The spelling of 2000033013 in words is "two billion, thirty-three thousand, thirteen".