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13000220213 is a prime number
BaseRepresentation
bin11000001101101111…
…11001111000110101
31020120000012121112112
430012313321320311
5203111024021323
65545555500405
7640105022441
oct140667717065
936500177475
1013000220213
115571315952
1226298b7705
1312c244acc6
148b47c5821
15511497178
hex306df9e35

13000220213 has 2 divisors, whose sum is σ = 13000220214. Its totient is φ = 13000220212.

The previous prime is 13000220183. The next prime is 13000220221. The reversal of 13000220213 is 31202200031.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12172046929 + 828173284 = 110327^2 + 28778^2 .

It is a cyclic number.

It is not a de Polignac number, because 13000220213 - 210 = 13000219189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13000220273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500110106 + 6500110107.

It is an arithmetic number, because the mean of its divisors is an integer number (6500110107).

Almost surely, 213000220213 is an apocalyptic number.

It is an amenable number.

13000220213 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000220213 is an equidigital number, since it uses as much as digits as its factorization.

13000220213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13000220213 its reverse (31202200031), we get a palindrome (44202420244).

The spelling of 13000220213 in words is "thirteen billion, two hundred twenty thousand, two hundred thirteen".