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1200312121313 is a prime number
BaseRepresentation
bin10001011101111000001…
…011010111011111100001
311020202012211000111221002
4101131320023113133201
5124131214400340223
62315225450241345
7152501565455504
oct21357013273741
94222184014832
101200312121313
1142305a99a498
12174766126255
138925c16aa86
1442149b7513b
15213522e0e28
hex117782d77e1

1200312121313 has 2 divisors, whose sum is σ = 1200312121314. Its totient is φ = 1200312121312.

The previous prime is 1200312121303. The next prime is 1200312121339. The reversal of 1200312121313 is 3131212130021.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1197958707169 + 2353414144 = 1094513^2 + 48512^2 .

It is a cyclic number.

It is not a de Polignac number, because 1200312121313 - 212 = 1200312117217 is a prime.

It is not a weakly prime, because it can be changed into another prime (1200312121303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 600156060656 + 600156060657.

It is an arithmetic number, because the mean of its divisors is an integer number (600156060657).

Almost surely, 21200312121313 is an apocalyptic number.

It is an amenable number.

1200312121313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1200312121313 is an equidigital number, since it uses as much as digits as its factorization.

1200312121313 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 20.

Adding to 1200312121313 its reverse (3131212130021), we get a palindrome (4331524251334).

The spelling of 1200312121313 in words is "one trillion, two hundred billion, three hundred twelve million, one hundred twenty-one thousand, three hundred thirteen".