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1313043131 is a prime number
BaseRepresentation
bin100111001000011…
…0111001010111011
310101111201111120002
41032100313022323
510142114340011
6334143023215
744352453041
oct11620671273
93344644502
101313043131
116141a6814
1230789ab0b
1317c0539ca
14c6558391
157a419c3b
hex4e4372bb

1313043131 has 2 divisors, whose sum is σ = 1313043132. Its totient is φ = 1313043130.

The previous prime is 1313043107. The next prime is 1313043133. The reversal of 1313043131 is 1313403131.

It is a strong prime.

It is an emirp because it is prime and its reverse (1313403131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1313043131 - 214 = 1313026747 is a prime.

It is a super-2 number, since 2×13130431312 = 3448164527732566322, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 1313043133, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1313043133) 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, 656521565 + 656521566.

It is an arithmetic number, because the mean of its divisors is an integer number (656521566).

Almost surely, 21313043131 is an apocalyptic number.

1313043131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313043131 is an equidigital number, since it uses as much as digits as its factorization.

1313043131 is an odious number, because the sum of its binary digits is odd.

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

The square root of 1313043131 is about 36235.9370101009. The cubic root of 1313043131 is about 1095.0307897071.

Adding to 1313043131 its reverse (1313403131), we get a palindrome (2626446262).

Subtracting 1313043131 from its reverse (1313403131), we obtain a square (360000 = 6002).

The spelling of 1313043131 in words is "one billion, three hundred thirteen million, forty-three thousand, one hundred thirty-one".