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13302131413 is a prime number
BaseRepresentation
bin11000110001101111…
…00110101011010101
31021100001022021211211
430120313212223111
5204220321201123
610035542501421
7650432152144
oct143067465325
937301267754
1013302131413
11570678523a
1226b2a34871
13133cb6799c
1490293575b
1552cc3240d
hex318de6ad5

13302131413 has 2 divisors, whose sum is σ = 13302131414. Its totient is φ = 13302131412.

The previous prime is 13302131377. The next prime is 13302131417. The reversal of 13302131413 is 31413120331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10618684209 + 2683447204 = 103047^2 + 51802^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13302131413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13302131417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6651065706 + 6651065707.

It is an arithmetic number, because the mean of its divisors is an integer number (6651065707).

Almost surely, 213302131413 is an apocalyptic number.

It is an amenable number.

13302131413 is a deficient number, since it is larger than the sum of its proper divisors (1).

13302131413 is an equidigital number, since it uses as much as digits as its factorization.

13302131413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13302131413 its reverse (31413120331), we get a palindrome (44715251744).

The spelling of 13302131413 in words is "thirteen billion, three hundred two million, one hundred thirty-one thousand, four hundred thirteen".