2133023033213 has 2 divisors, whose sum is σ = 2133023033214. Its totient is φ = 2133023033212.

The previous prime is 2133023033201. The next prime is 2133023033231. The reversal of 2133023033213 is 3123303203312.

It is a happy number.

Together with next prime (2133023033231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1143280593049 + 989742440164 = 1069243^2 + 994858^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133023033213 - 2¹⁸ = 2133022771069 is a prime.

It is a super-2 number, since 2×2133023033213² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2133023533213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1066511516606 + 1066511516607.

It is an arithmetic number, because the mean of its divisors is an integer number (1066511516607).

Almost surely, 2^{2133023033213} is an apocalyptic number.

It is an amenable number.

2133023033213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133023033213 is an equidigital number, since it uses as much as digits as its factorization.

2133023033213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 2133023033213 its reverse (3123303203312), we get a palindrome (5256326236525).

The spelling of 2133023033213 in words is "two trillion, one hundred thirty-three billion, twenty-three million, thirty-three thousand, two hundred thirteen".