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1312232001013 is a prime number
BaseRepresentation
bin10011000110000111000…
…111110100110111110101
311122110002201000111010201
4103012013013310313311
5132444422343013023
62442455301520501
7163543221654043
oct23060707646765
94573081014121
101312232001013
1146657283363a
1219239ba13131
139698733bc6b
1447725d19393
1524202c21bad
hex131871f4df5

1312232001013 has 2 divisors, whose sum is σ = 1312232001014. Its totient is φ = 1312232001012.

The previous prime is 1312232001011. The next prime is 1312232001071. The reversal of 1312232001013 is 3101002322131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 662429954404 + 649802046609 = 813898^2 + 806103^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312232001013 - 21 = 1312232001011 is a prime.

Together with 1312232001011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1312232001011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656116000506 + 656116000507.

It is an arithmetic number, because the mean of its divisors is an integer number (656116000507).

Almost surely, 21312232001013 is an apocalyptic number.

It is an amenable number.

1312232001013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312232001013 is an equidigital number, since it uses as much as digits as its factorization.

1312232001013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1312232001013 its reverse (3101002322131), we get a palindrome (4413234323144).

The spelling of 1312232001013 in words is "one trillion, three hundred twelve billion, two hundred thirty-two million, one thousand, thirteen".