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2003113132213 is a prime number
BaseRepresentation
bin11101001001100010110…
…110001100000010110101
321002111101101202100112011
4131021202312030002311
5230304333430212323
64132114550124221
7264502003456204
oct35114266140265
97074341670464
102003113132213
11702574162126
12284272650671
13116b7b50983b
146cd4610523b
153718b46c20d
hex1d262d8c0b5

2003113132213 has 2 divisors, whose sum is σ = 2003113132214. Its totient is φ = 2003113132212.

The previous prime is 2003113132193. The next prime is 2003113132327. The reversal of 2003113132213 is 3122313113002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1537855450609 + 465257681604 = 1240103^2 + 682098^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2003113132213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2003113132513) 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, 1001556566106 + 1001556566107.

It is an arithmetic number, because the mean of its divisors is an integer number (1001556566107).

Almost surely, 22003113132213 is an apocalyptic number.

It is an amenable number.

2003113132213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003113132213 is an equidigital number, since it uses as much as digits as its factorization.

2003113132213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 2003113132213 its reverse (3122313113002), we get a palindrome (5125426245215).

The spelling of 2003113132213 in words is "two trillion, three billion, one hundred thirteen million, one hundred thirty-two thousand, two hundred thirteen".