2033021313 has 96 divisors (see below), whose sum is σ = 3364208640. Its totient is φ = 1176215040.

The previous prime is 2033021257. The next prime is 2033021327. The reversal of 2033021313 is 3131203302.

2033021313 is a `hidden beast` number, since 2 + 0 + 330 + 21 + 313 = 666.

It is not a de Polignac number, because 2033021313 - 2⁸ = 2033021057 is a prime.

It is a super-2 number, since 2×2033021313² = 8266351318224487938, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2033021363) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19738020 + ... + 19738122.

It is an arithmetic number, because the mean of its divisors is an integer number (35043840).

Almost surely, 2^2033021313 is an apocalyptic number.

2033021313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2033021313 is a deficient number, since it is larger than the sum of its proper divisors (1331187327).

2033021313 is a wasteful number, since it uses less digits than its factorization.

2033021313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2033021313 is about 45089.0376144801. The cubic root of 2033021313 is about 1266.8172754973.

Adding to 2033021313 its reverse (3131203302), we get a palindrome (5164224615).

The spelling of 2033021313 in words is "two billion, thirty-three million, twenty-one thousand, three hundred thirteen".