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20013131011 is a prime number
BaseRepresentation
bin10010101000111000…
…000010010100000011
31220122202020101121111
4102220320002110003
5311441330143021
613105514504151
71305641543506
oct225070022403
956582211544
1020013131011
11853a9885a5
123a66435057
131b6c324673
14d7bd4313d
157c1eb18e1
hex4a8e02503

20013131011 has 2 divisors, whose sum is σ = 20013131012. Its totient is φ = 20013131010.

The previous prime is 20013131009. The next prime is 20013131023. The reversal of 20013131011 is 11013131002.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 20013131011 - 21 = 20013131009 is a prime.

Together with 20013131009, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 20013130982 and 20013131000.

It is not a weakly prime, because it can be changed into another prime (20013131911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10006565505 + 10006565506.

It is an arithmetic number, because the mean of its divisors is an integer number (10006565506).

Almost surely, 220013131011 is an apocalyptic number.

20013131011 is a deficient number, since it is larger than the sum of its proper divisors (1).

20013131011 is an equidigital number, since it uses as much as digits as its factorization.

20013131011 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 20013131011 its reverse (11013131002), we get a palindrome (31026262013).

Subtracting from 20013131011 its reverse (11013131002), we obtain a palindrome (9000000009).

The spelling of 20013131011 in words is "twenty billion, thirteen million, one hundred thirty-one thousand, eleven".