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1333322220133 is a prime number
BaseRepresentation
bin10011011001110000001…
…100101000001001100101
311201110112111222121212101
4103121300030220021211
5133321120442021013
62500304134252101
7165220652606251
oct23316014501145
94643474877771
101333322220133
114745056a73a2
121964a6ab7031
1398968851667
1448766d15261
1524a395408dd
hex13670328265

1333322220133 has 2 divisors, whose sum is σ = 1333322220134. Its totient is φ = 1333322220132.

The previous prime is 1333322220119. The next prime is 1333322220157. The reversal of 1333322220133 is 3310222233331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 931344663844 + 401977556289 = 965062^2 + 634017^2 .

It is a cyclic number.

It is not a de Polignac number, because 1333322220133 - 213 = 1333322211941 is a prime.

It is a super-3 number, since 3×13333222201333 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1333322920133) 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, 666661110066 + 666661110067.

It is an arithmetic number, because the mean of its divisors is an integer number (666661110067).

Almost surely, 21333322220133 is an apocalyptic number.

It is an amenable number.

1333322220133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1333322220133 is an equidigital number, since it uses as much as digits as its factorization.

1333322220133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 1333322220133 its reverse (3310222233331), we get a palindrome (4643544453464).

The spelling of 1333322220133 in words is "one trillion, three hundred thirty-three billion, three hundred twenty-two million, two hundred twenty thousand, one hundred thirty-three".