2033400013 has 8 divisors (see below), whose sum is σ = 2068653600. Its totient is φ = 1998172848.

The previous prime is 2033400001. The next prime is 2033400029. The reversal of 2033400013 is 3100043302.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2033400013 is a prime.

It is a super-2 number, since 2×2033400013² = 8269431225736800338, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2033400013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033400113) 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, 208398 + ... + 217936.

It is an arithmetic number, because the mean of its divisors is an integer number (258581700).

Almost surely, 2^2033400013 is an apocalyptic number.

It is an amenable number.

2033400013 is a deficient number, since it is larger than the sum of its proper divisors (35253587).

2033400013 is an equidigital number, since it uses as much as digits as its factorization.

2033400013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13211.

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2033400013 is about 45093.2368875866. The cubic root of 2033400013 is about 1266.8959291927.

Adding to 2033400013 its reverse (3100043302), we get a palindrome (5133443315).

The spelling of 2033400013 in words is "two billion, thirty-three million, four hundred thousand, thirteen".