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20010130013 is a prime number
BaseRepresentation
bin10010101000101100…
…100101101001011101
31220122112120221000102
4102220230211221131
5311440043130023
613105330310445
71305604204316
oct225054455135
956575527012
1020010130013
118539218935
123a65428425
131b6b813723
14d7b7a160d
157c1abc628
hex4a8b25a5d

20010130013 has 2 divisors, whose sum is σ = 20010130014. Its totient is φ = 20010130012.

The previous prime is 20010130001. The next prime is 20010130031. The reversal of 20010130013 is 31003101002.

Together with next prime (20010130031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11345871289 + 8664258724 = 106517^2 + 93082^2 .

It is a cyclic number.

It is not a de Polignac number, because 20010130013 - 220 = 20009081437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20010129976 and 20010130003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20010100013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10005065006 + 10005065007.

It is an arithmetic number, because the mean of its divisors is an integer number (10005065007).

Almost surely, 220010130013 is an apocalyptic number.

It is an amenable number.

20010130013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20010130013 is an equidigital number, since it uses as much as digits as its factorization.

20010130013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 20010130013 its reverse (31003101002), we get a palindrome (51013231015).

The spelling of 20010130013 in words is "twenty billion, ten million, one hundred thirty thousand, thirteen".