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1322131313 is a prime number
BaseRepresentation
bin100111011001110…
…0001111101110001
310102010211020012102
41032303201331301
510201431200223
6335105510145
744522634146
oct11663417561
93363736172
101322131313
11619343908
1230a942355
13180bb6529
14c78423cd
157b112928
hex4ece1f71

1322131313 has 2 divisors, whose sum is σ = 1322131314. Its totient is φ = 1322131312.

The previous prime is 1322131289. The next prime is 1322131331. The reversal of 1322131313 is 3131312231.

Together with next prime (1322131331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 878944609 + 443186704 = 29647^2 + 21052^2 .

It is a cyclic number.

It is not a de Polignac number, because 1322131313 - 228 = 1053695857 is a prime.

It is a super-3 number, since 3×13221313133 (a number of 28 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1322133313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 661065656 + 661065657.

It is an arithmetic number, because the mean of its divisors is an integer number (661065657).

Almost surely, 21322131313 is an apocalyptic number.

It is an amenable number.

1322131313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1322131313 is an equidigital number, since it uses as much as digits as its factorization.

1322131313 is an evil number, because the sum of its binary digits is even.

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

The square root of 1322131313 is about 36361.1236487543. The cubic root of 1322131313 is about 1097.5513889488.

Adding to 1322131313 its reverse (3131312231), we get a palindrome (4453443544).

The spelling of 1322131313 in words is "one billion, three hundred twenty-two million, one hundred thirty-one thousand, three hundred thirteen".