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1313101217 is a prime number
BaseRepresentation
bin100111001000100…
…0101010110100001
310101111211110020102
41032101011112201
510142123214332
6334144152145
744353114301
oct11621052641
93344743212
101313101217
1161423641a
12307908655
1317c07428c
14c6571601
157a42c062
hex4e4455a1

1313101217 has 2 divisors, whose sum is σ = 1313101218. Its totient is φ = 1313101216.

The previous prime is 1313101159. The next prime is 1313101247. The reversal of 1313101217 is 7121013131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1219476241 + 93624976 = 34921^2 + 9676^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1313101217 is a prime.

It is not a weakly prime, because it can be changed into another prime (1313101247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656550608 + 656550609.

It is an arithmetic number, because the mean of its divisors is an integer number (656550609).

Almost surely, 21313101217 is an apocalyptic number.

It is an amenable number.

1313101217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313101217 is an equidigital number, since it uses as much as digits as its factorization.

1313101217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 1313101217 is about 36236.7384983803. The cubic root of 1313101217 is about 1095.0469366813.

Adding to 1313101217 its reverse (7121013131), we get a palindrome (8434114348).

The spelling of 1313101217 in words is "one billion, three hundred thirteen million, one hundred one thousand, two hundred seventeen".