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20131313202073 is a prime number
BaseRepresentation
bin1001001001111001011111…
…10001011011001110011001
32122021112102211102022212101
410210330233301123032121
510114312412134431243
6110452110403443401
74145303464563463
oct444745761331631
978245384368771
1020131313202073
116461707531337
122311700086561
13b304b42666c8
144d8509cc3133
1524d9dd14654d
hex124f2fc5b399

20131313202073 has 2 divisors, whose sum is σ = 20131313202074. Its totient is φ = 20131313202072.

The previous prime is 20131313202061. The next prime is 20131313202103. The reversal of 20131313202073 is 37020231313102.

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., 18128205144729 + 2003108057344 = 4257723^2 + 1415312^2 .

It is a cyclic number.

It is not a de Polignac number, because 20131313202073 - 29 = 20131313201561 is a prime.

It is not a weakly prime, because it can be changed into another prime (20131313202673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10065656601036 + 10065656601037.

It is an arithmetic number, because the mean of its divisors is an integer number (10065656601037).

Almost surely, 220131313202073 is an apocalyptic number.

It is an amenable number.

20131313202073 is a deficient number, since it is larger than the sum of its proper divisors (1).

20131313202073 is an equidigital number, since it uses as much as digits as its factorization.

20131313202073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 28.

Adding to 20131313202073 its reverse (37020231313102), we get a palindrome (57151544515175).

The spelling of 20131313202073 in words is "twenty trillion, one hundred thirty-one billion, three hundred thirteen million, two hundred two thousand, seventy-three".