2121233013233 has 2 divisors, whose sum is σ = 2121233013234. Its totient is φ = 2121233013232.

The previous prime is 2121233013191. The next prime is 2121233013271. The reversal of 2121233013233 is 3323103321212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2089594564849 + 31638448384 = 1445543^2 + 177872^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121233013233 - 2¹⁸ = 2121232751089 is a prime.

It is a super-2 number, since 2×2121233013233² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2121233013283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060616506616 + 1060616506617.

It is an arithmetic number, because the mean of its divisors is an integer number (1060616506617).

Almost surely, 2^{2121233013233} is an apocalyptic number.

It is an amenable number.

2121233013233 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121233013233 is an equidigital number, since it uses as much as digits as its factorization.

2121233013233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 2121233013233 its reverse (3323103321212), we get a palindrome (5444336334445).

The spelling of 2121233013233 in words is "two trillion, one hundred twenty-one billion, two hundred thirty-three million, thirteen thousand, two hundred thirty-three".