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13125002213 is a prime number
BaseRepresentation
bin11000011100100111…
…11010001111100101
31020212201000012021002
430032103322033211
5203340000032323
610010214203045
7643151451401
oct141623721745
936781005232
1013125002213
1156257a3474
122663653485
13131225a6cb
148c71c8101
1551c3e4828
hex30e4fa3e5

13125002213 has 2 divisors, whose sum is σ = 13125002214. Its totient is φ = 13125002212.

The previous prime is 13125002183. The next prime is 13125002243. The reversal of 13125002213 is 31220052131.

It is a balanced prime because it is at equal distance from previous prime (13125002183) and next prime (13125002243).

It can be written as a sum of positive squares in only one way, i.e., 8750105764 + 4374896449 = 93542^2 + 66143^2 .

It is a cyclic number.

It is not a de Polignac number, because 13125002213 - 216 = 13124936677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13125002243) 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, 6562501106 + 6562501107.

It is an arithmetic number, because the mean of its divisors is an integer number (6562501107).

Almost surely, 213125002213 is an apocalyptic number.

It is an amenable number.

13125002213 is a deficient number, since it is larger than the sum of its proper divisors (1).

13125002213 is an equidigital number, since it uses as much as digits as its factorization.

13125002213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 13125002213 its reverse (31220052131), we get a palindrome (44345054344).

The spelling of 13125002213 in words is "thirteen billion, one hundred twenty-five million, two thousand, two hundred thirteen".