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13131013321 is a prime number
BaseRepresentation
bin11000011101010101…
…10101110011001001
31020220010022120221201
430032222311303021
5203343014411241
610010551104201
7643253525446
oct141652656311
936803276851
1013131013321
115629129728
122665672061
13131358378a
148c7d109cd
1551cbd0931
hex30eab5cc9

13131013321 has 2 divisors, whose sum is σ = 13131013322. Its totient is φ = 13131013320.

The previous prime is 13131013289. The next prime is 13131013369. The reversal of 13131013321 is 12331013131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11829607696 + 1301405625 = 108764^2 + 36075^2 .

It is a cyclic number.

It is not a de Polignac number, because 13131013321 - 25 = 13131013289 is a prime.

It is not a weakly prime, because it can be changed into another prime (13131013121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565506660 + 6565506661.

It is an arithmetic number, because the mean of its divisors is an integer number (6565506661).

Almost surely, 213131013321 is an apocalyptic number.

It is an amenable number.

13131013321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131013321 is an equidigital number, since it uses as much as digits as its factorization.

13131013321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 13131013321 its reverse (12331013131), we get a palindrome (25462026452).

The spelling of 13131013321 in words is "thirteen billion, one hundred thirty-one million, thirteen thousand, three hundred twenty-one".