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20331013013 is a prime number
BaseRepresentation
bin10010111011110100…
…101010001110010101
31221110220101110201222
4102323310222032111
5313114214404023
613201232100125
71316551521263
oct227364521625
957426343658
1020331013013
118693365aa3
123b34994645
131bc014381c
14dac24d433
157ded53cc8
hex4bbd2a395

20331013013 has 2 divisors, whose sum is σ = 20331013014. Its totient is φ = 20331013012.

The previous prime is 20331012991. The next prime is 20331013033. The reversal of 20331013013 is 31031013302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19554666244 + 776346769 = 139838^2 + 27863^2 .

It is a cyclic number.

It is not a de Polignac number, because 20331013013 - 234 = 3151143829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20331012982 and 20331013000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20331013033) 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, 10165506506 + 10165506507.

It is an arithmetic number, because the mean of its divisors is an integer number (10165506507).

Almost surely, 220331013013 is an apocalyptic number.

It is an amenable number.

20331013013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20331013013 is an equidigital number, since it uses as much as digits as its factorization.

20331013013 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 20331013013 its reverse (31031013302), we get a palindrome (51362026315).

The spelling of 20331013013 in words is "twenty billion, three hundred thirty-one million, thirteen thousand, thirteen".