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13202320013 is a prime number
BaseRepresentation
bin11000100101110101…
…10110101010001101
31021002002111100100022
430102322312222031
5204014243220023
610022015311525
7645110603621
oct142272665215
937062440308
1013202320013
115665402483
12268551b5a5
13132528bc9c
148d3593181
155240b87c8
hex312eb6a8d

13202320013 has 2 divisors, whose sum is σ = 13202320014. Its totient is φ = 13202320012.

The previous prime is 13202319973. The next prime is 13202320049. The reversal of 13202320013 is 31002320231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8155354249 + 5046965764 = 90307^2 + 71042^2 .

It is a cyclic number.

It is not a de Polignac number, because 13202320013 - 220 = 13201271437 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13202319973 and 13202320000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13202320073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6601160006 + 6601160007.

It is an arithmetic number, because the mean of its divisors is an integer number (6601160007).

Almost surely, 213202320013 is an apocalyptic number.

It is an amenable number.

13202320013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13202320013 is an equidigital number, since it uses as much as digits as its factorization.

13202320013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13202320013 its reverse (31002320231), we get a palindrome (44204640244).

The spelling of 13202320013 in words is "thirteen billion, two hundred two million, three hundred twenty thousand, thirteen".