21333333010133 has 2 divisors, whose sum is σ = 21333333010134. Its totient is φ = 21333333010132.

The previous prime is 21333333010123. The next prime is 21333333010183. The reversal of 21333333010133 is 33101033333312.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18321327636964 + 3012005373169 = 4280342^2 + 1735513^2 .

It is a cyclic number.

It is not a de Polignac number, because 21333333010133 - 2¹⁶ = 21333332944597 is a prime.

It is a super-2 number, since 2×21333333010133² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21333333010096 and 21333333010105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21333333010123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10666666505066 + 10666666505067.

It is an arithmetic number, because the mean of its divisors is an integer number (10666666505067).

Almost surely, 2^{21333333010133} is an apocalyptic number.

It is an amenable number.

21333333010133 is a deficient number, since it is larger than the sum of its proper divisors (1).

21333333010133 is an equidigital number, since it uses as much as digits as its factorization.

21333333010133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13122, while the sum is 29.

Adding to 21333333010133 its reverse (33101033333312), we get a palindrome (54434366343445).

The spelling of 21333333010133 in words is "twenty-one trillion, three hundred thirty-three billion, three hundred thirty-three million, ten thousand, one hundred thirty-three".