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1322131331 is a prime number
BaseRepresentation
bin100111011001110…
…0001111110000011
310102010211020020002
41032303201332003
510201431200311
6335105510215
744522634203
oct11663417603
93363736202
101322131331
11619343924
1230a94236b
13180bb6541
14c7842403
157b11293b
hex4ece1f83

1322131331 has 2 divisors, whose sum is σ = 1322131332. Its totient is φ = 1322131330.

The previous prime is 1322131313. The next prime is 1322131337. The reversal of 1322131331 is 1331312231.

Together with previous prime (1322131313) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1322131331 - 230 = 248389507 is a prime.

It is a super-3 number, since 3×13221313313 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (1322131337) 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, 661065665 + 661065666.

It is an arithmetic number, because the mean of its divisors is an integer number (661065666).

Almost surely, 21322131331 is an apocalyptic number.

1322131331 is a deficient number, since it is larger than the sum of its proper divisors (1).

1322131331 is an equidigital number, since it uses as much as digits as its factorization.

1322131331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 324, while the sum is 20.

The square root of 1322131331 is about 36361.1238962714. The cubic root of 1322131331 is about 1097.5513939296.

Adding to 1322131331 its reverse (1331312231), we get a palindrome (2653443562).

Subtracting 1322131331 from its reverse (1331312231), we obtain a square (9180900 = 30302).

The spelling of 1322131331 in words is "one billion, three hundred twenty-two million, one hundred thirty-one thousand, three hundred thirty-one".