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13202113013 is a prime number
BaseRepresentation
bin11000100101110100…
…00100000111110101
31021002002002211101122
430102322010013311
5204014220104023
610022011033325
7645106052255
oct142272040765
937062084348
1013202113013
115665280a01
12268543b845
1313252189bb
148d353b965
155240772c8
hex312e841f5

13202113013 has 2 divisors, whose sum is σ = 13202113014. Its totient is φ = 13202113012.

The previous prime is 13202113009. The next prime is 13202113039. The reversal of 13202113013 is 31031120231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13114372324 + 87740689 = 114518^2 + 9367^2 .

It is a cyclic number.

It is not a de Polignac number, because 13202113013 - 22 = 13202113009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13202112982 and 13202113000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13202113073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6601056506 + 6601056507.

It is an arithmetic number, because the mean of its divisors is an integer number (6601056507).

Almost surely, 213202113013 is an apocalyptic number.

It is an amenable number.

13202113013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13202113013 is an equidigital number, since it uses as much as digits as its factorization.

13202113013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13202113013 its reverse (31031120231), we get a palindrome (44233233244).

The spelling of 13202113013 in words is "thirteen billion, two hundred two million, one hundred thirteen thousand, thirteen".