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2000120001013 is a prime number
BaseRepresentation
bin11101000110110000011…
…100010011000111110101
321002012122210122112102001
4131012300130103013311
5230232221210013023
64130501545015301
7264334560332161
oct35066034230765
97065583575361
102000120001013
11701278663382
12283778184531
131167c238b8a4
146cb407a9ca1
15370637d36ad
hex1d1b07131f5

2000120001013 has 2 divisors, whose sum is σ = 2000120001014. Its totient is φ = 2000120001012.

The previous prime is 2000120000999. The next prime is 2000120001083. The reversal of 2000120001013 is 3101000210002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1835545361329 + 164574639684 = 1354823^2 + 405678^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000120001013 - 25 = 2000120000981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2000120001083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000060000506 + 1000060000507.

It is an arithmetic number, because the mean of its divisors is an integer number (1000060000507).

Almost surely, 22000120001013 is an apocalyptic number.

It is an amenable number.

2000120001013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000120001013 is an equidigital number, since it uses as much as digits as its factorization.

2000120001013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 2000120001013 its reverse (3101000210002), we get a palindrome (5101120211015).

The spelling of 2000120001013 in words is "two trillion, one hundred twenty million, one thousand, thirteen".