2033120213 has 32 divisors (see below), whose sum is σ = 2318991360. Its totient is φ = 1772305920.

The previous prime is 2033120209. The next prime is 2033120231. The reversal of 2033120213 is 3120213302.

It is a cyclic number.

It is not a de Polignac number, because 2033120213 - 2² = 2033120209 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2033120191 and 2033120200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033120273) 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, 3020645 + ... + 3021317.

It is an arithmetic number, because the mean of its divisors is an integer number (72468480).

Almost surely, 2^2033120213 is an apocalyptic number.

2033120213 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2033120213 is a deficient number, since it is larger than the sum of its proper divisors (285871147).

2033120213 is a wasteful number, since it uses less digits than its factorization.

2033120213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2033120213 is about 45090.1343200483. The cubic root of 2033120213 is about 1266.8378173703.

Adding to 2033120213 its reverse (3120213302), we get a palindrome (5153333515).

The spelling of 2033120213 in words is "two billion, thirty-three million, one hundred twenty thousand, two hundred thirteen".