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20013313 is a prime number
BaseRepresentation
bin100110001011…
…0000100000001
31101122210002211
41030112010001
520110411223
61552542121
7332052565
oct114260401
941583084
1020013313
111032a331
126851941
1341b94c8
14292d6a5
151b54d0d
hex1316101

20013313 has 2 divisors, whose sum is σ = 20013314. Its totient is φ = 20013312.

The previous prime is 20013311. The next prime is 20013319. The reversal of 20013313 is 31331002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18601969 + 1411344 = 4313^2 + 1188^2 .

It is a cyclic number.

It is not a de Polignac number, because 20013313 - 21 = 20013311 is a prime.

Together with 20013311, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 20013293 and 20013302.

It is not a weakly prime, because it can be changed into another prime (20013311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10006656 + 10006657.

It is an arithmetic number, because the mean of its divisors is an integer number (10006657).

Almost surely, 220013313 is an apocalyptic number.

It is an amenable number.

20013313 is a deficient number, since it is larger than the sum of its proper divisors (1).

20013313 is an equidigital number, since it uses as much as digits as its factorization.

20013313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 20013313 is about 4473.6241460364. The cubic root of 20013313 is about 271.5019767036.

Adding to 20013313 its reverse (31331002), we get a palindrome (51344315).

The spelling of 20013313 in words is "twenty million, thirteen thousand, three hundred thirteen".