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22133331313 is a prime number
BaseRepresentation
bin10100100111001111…
…111101010101110001
32010010111202201122121
4110213033331111301
5330312113100223
614100134034241
71412325132502
oct244717752561
963114681577
1022133331313
119428763455
1243584a8981
132119665b62
1410dd76aba9
158981b915d
hex5273fd571

22133331313 has 2 divisors, whose sum is σ = 22133331314. Its totient is φ = 22133331312.

The previous prime is 22133331307. The next prime is 22133331383. The reversal of 22133331313 is 31313333122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16203253264 + 5930078049 = 127292^2 + 77007^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22133331313 is a prime.

It is a super-2 number, since 2×221333313132 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22133331383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11066665656 + 11066665657.

It is an arithmetic number, because the mean of its divisors is an integer number (11066665657).

Almost surely, 222133331313 is an apocalyptic number.

It is an amenable number.

22133331313 is a deficient number, since it is larger than the sum of its proper divisors (1).

22133331313 is an equidigital number, since it uses as much as digits as its factorization.

22133331313 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 22133331313 its reverse (31313333122), we get a palindrome (53446664435).

The spelling of 22133331313 in words is "twenty-two billion, one hundred thirty-three million, three hundred thirty-one thousand, three hundred thirteen".