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21333213133 is a prime number
BaseRepresentation
bin10011110111100011…
…101111111111001101
32001001202012111211221
4103313203233333031
5322142300310013
613444512443341
71353441214441
oct236743577715
961052174757
1021333213133
119058051861
124174549551
13201c97124b
1410653b0821
1584cd1c08d
hex4f78effcd

21333213133 has 2 divisors, whose sum is σ = 21333213134. Its totient is φ = 21333213132.

The previous prime is 21333213127. The next prime is 21333213137. The reversal of 21333213133 is 33131233312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12451658569 + 8881554564 = 111587^2 + 94242^2 .

It is a cyclic number.

It is not a de Polignac number, because 21333213133 - 25 = 21333213101 is a prime.

It is a super-3 number, since 3×213332131333 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21333213098 and 21333213107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21333213137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10666606566 + 10666606567.

It is an arithmetic number, because the mean of its divisors is an integer number (10666606567).

Almost surely, 221333213133 is an apocalyptic number.

It is an amenable number.

21333213133 is a deficient number, since it is larger than the sum of its proper divisors (1).

21333213133 is an equidigital number, since it uses as much as digits as its factorization.

21333213133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2916, while the sum is 25.

Adding to 21333213133 its reverse (33131233312), we get a palindrome (54464446445).

The spelling of 21333213133 in words is "twenty-one billion, three hundred thirty-three million, two hundred thirteen thousand, one hundred thirty-three".