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2001232321313 is a prime number
BaseRepresentation
bin11101000111110010101…
…111011101101100100001
321002022112022200021000012
4131013302233131230201
5230242010433240223
64131204201534305
7264404255030411
oct35076257355441
97068468607005
102001232321313
11701799523055
12283a287a4395
1311693b964294
146cc083d4641
15370cb29ec78
hex1d1f2bddb21

2001232321313 has 2 divisors, whose sum is σ = 2001232321314. Its totient is φ = 2001232321312.

The previous prime is 2001232321279. The next prime is 2001232321351. The reversal of 2001232321313 is 3131232321002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1771473155089 + 229759166224 = 1330967^2 + 479332^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2001232321313 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001232521313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000616160656 + 1000616160657.

It is an arithmetic number, because the mean of its divisors is an integer number (1000616160657).

Almost surely, 22001232321313 is an apocalyptic number.

It is an amenable number.

2001232321313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001232321313 is an equidigital number, since it uses as much as digits as its factorization.

2001232321313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 2001232321313 its reverse (3131232321002), we get a palindrome (5132464642315).

The spelling of 2001232321313 in words is "two trillion, one billion, two hundred thirty-two million, three hundred twenty-one thousand, three hundred thirteen".