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13222313021 is a prime number
BaseRepresentation
bin11000101000001110…
…00111110000111101
31021010111010002121002
430110013013300331
5204034403004041
610024012020045
7645442543361
oct142407076075
937114102532
1013222313021
115675718525
122690161625
13132946c178
148d60b92a1
15525c1759b
hex3141c7c3d

13222313021 has 2 divisors, whose sum is σ = 13222313022. Its totient is φ = 13222313020.

The previous prime is 13222313017. The next prime is 13222313051. The reversal of 13222313021 is 12031322231.

13222313021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11710269796 + 1512043225 = 108214^2 + 38885^2 .

It is an emirp because it is prime and its reverse (12031322231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13222313021 - 22 = 13222313017 is a prime.

It is a super-2 number, since 2×132223130212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13222312984 and 13222313002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13222313051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6611156510 + 6611156511.

It is an arithmetic number, because the mean of its divisors is an integer number (6611156511).

Almost surely, 213222313021 is an apocalyptic number.

It is an amenable number.

13222313021 is a deficient number, since it is larger than the sum of its proper divisors (1).

13222313021 is an equidigital number, since it uses as much as digits as its factorization.

13222313021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13222313021 its reverse (12031322231), we get a palindrome (25253635252).

The spelling of 13222313021 in words is "thirteen billion, two hundred twenty-two million, three hundred thirteen thousand, twenty-one".