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1311003323137 is a prime number
BaseRepresentation
bin10011000100111101111…
…000110010101100000001
311122022221002001011221201
4103010331320302230001
5132434413322320022
62442133331021201
7163500612244564
oct23047570625401
94568832034851
101311003323137
11465aa221a782
121920b843a801
139681c916531
144764aa824db
152417ee1e127
hex1313de32b01

1311003323137 has 2 divisors, whose sum is σ = 1311003323138. Its totient is φ = 1311003323136.

The previous prime is 1311003323117. The next prime is 1311003323153. The reversal of 1311003323137 is 7313233001131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 885539342961 + 425463980176 = 941031^2 + 652276^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1311003323137 is a prime.

It is not a weakly prime, because it can be changed into another prime (1311003323117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655501661568 + 655501661569.

It is an arithmetic number, because the mean of its divisors is an integer number (655501661569).

Almost surely, 21311003323137 is an apocalyptic number.

It is an amenable number.

1311003323137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311003323137 is an equidigital number, since it uses as much as digits as its factorization.

1311003323137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 28.

Adding to 1311003323137 its reverse (7313233001131), we get a palindrome (8624236324268).

The spelling of 1311003323137 in words is "one trillion, three hundred eleven billion, three million, three hundred twenty-three thousand, one hundred thirty-seven".