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20031133013 is a prime number
BaseRepresentation
bin10010101001111100…
…101101010101010101
31220201000002222201022
4102221330231111111
5312010432224023
613111400410525
71306250551463
oct225174552525
956630088638
1020031133013
11854a063791
123a70476a45
131b72c88538
14d804ab833
157c386a7c8
hex4a9f2d555

20031133013 has 2 divisors, whose sum is σ = 20031133014. Its totient is φ = 20031133012.

The previous prime is 20031133007. The next prime is 20031133019. The reversal of 20031133013 is 31033113002.

It is a balanced prime because it is at equal distance from previous prime (20031133007) and next prime (20031133019).

It can be written as a sum of positive squares in only one way, i.e., 17341465969 + 2689667044 = 131687^2 + 51862^2 .

It is a cyclic number.

It is not a de Polignac number, because 20031133013 - 232 = 15736165717 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20031132982 and 20031133000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20031133019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10015566506 + 10015566507.

It is an arithmetic number, because the mean of its divisors is an integer number (10015566507).

Almost surely, 220031133013 is an apocalyptic number.

It is an amenable number.

20031133013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20031133013 is an equidigital number, since it uses as much as digits as its factorization.

20031133013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 20031133013 its reverse (31033113002), we get a palindrome (51064246015).

The spelling of 20031133013 in words is "twenty billion, thirty-one million, one hundred thirty-three thousand, thirteen".