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2001323213 is a prime number
BaseRepresentation
bin111011101001001…
…1100010011001101
312011110211202022222
41313102130103031
513044314320323
6530331145125
7100410652361
oct16722342315
95143752288
102001323213
1193777082a
1247a2a51a5
1325b81b726
1414db212a1
15baa749c8
hex7749c4cd

2001323213 has 2 divisors, whose sum is σ = 2001323214. Its totient is φ = 2001323212.

The previous prime is 2001323189. The next prime is 2001323237. The reversal of 2001323213 is 3123231002.

It is a balanced prime because it is at equal distance from previous prime (2001323189) and next prime (2001323237).

It can be written as a sum of positive squares in only one way, i.e., 1480479529 + 520843684 = 38477^2 + 22822^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001323213 - 210 = 2001322189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001323191 and 2001323200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001323273) 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, 1000661606 + 1000661607.

It is an arithmetic number, because the mean of its divisors is an integer number (1000661607).

Almost surely, 22001323213 is an apocalyptic number.

It is an amenable number.

2001323213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001323213 is an equidigital number, since it uses as much as digits as its factorization.

2001323213 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 17.

The square root of 2001323213 is about 44736.1510749416. The cubic root of 2001323213 is about 1260.1988459587.

Adding to 2001323213 its reverse (3123231002), we get a palindrome (5124554215).

The spelling of 2001323213 in words is "two billion, one million, three hundred twenty-three thousand, two hundred thirteen".