21233021132033 has 2 divisors, whose sum is σ = 21233021132034. Its totient is φ = 21233021132032.

The previous prime is 21233021132017. The next prime is 21233021132039. The reversal of 21233021132033 is 33023112033212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20158456693489 + 1074564438544 = 4489817^2 + 1036612^2 .

It is a cyclic number.

It is not a de Polignac number, because 21233021132033 - 2⁴ = 21233021132017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21233021131993 and 21233021132011.

It is not a weakly prime, because it can be changed into another prime (21233021132039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10616510566016 + 10616510566017.

It is an arithmetic number, because the mean of its divisors is an integer number (10616510566017).

Almost surely, 2^{21233021132033} is an apocalyptic number.

It is an amenable number.

21233021132033 is a deficient number, since it is larger than the sum of its proper divisors (1).

21233021132033 is an equidigital number, since it uses as much as digits as its factorization.

21233021132033 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 21233021132033 its reverse (33023112033212), we get a palindrome (54256133165245).

The spelling of 21233021132033 in words is "twenty-one trillion, two hundred thirty-three billion, twenty-one million, one hundred thirty-two thousand, thirty-three".