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13113313181 is a prime number
BaseRepresentation
bin11000011011001110…
…10100011110011101
31020211220000022220222
430031213110132131
5203324002010211
610005115451125
7642650215523
oct141547243635
936756008828
1013113313181
11561a13a311
12265b756aa5
13130c9c7117
148c5824313
1551b3861db
hex30d9d479d

13113313181 has 2 divisors, whose sum is σ = 13113313182. Its totient is φ = 13113313180.

The previous prime is 13113313151. The next prime is 13113313211. The reversal of 13113313181 is 18131331131.

It is a balanced prime because it is at equal distance from previous prime (13113313151) and next prime (13113313211).

It can be written as a sum of positive squares in only one way, i.e., 11064936100 + 2048377081 = 105190^2 + 45259^2 .

It is a cyclic number.

It is not a de Polignac number, because 13113313181 - 222 = 13109118877 is a prime.

It is a super-2 number, since 2×131133131812 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13113313181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13113313151) 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, 6556656590 + 6556656591.

It is an arithmetic number, because the mean of its divisors is an integer number (6556656591).

Almost surely, 213113313181 is an apocalyptic number.

It is an amenable number.

13113313181 is a deficient number, since it is larger than the sum of its proper divisors (1).

13113313181 is an equidigital number, since it uses as much as digits as its factorization.

13113313181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 26.

The spelling of 13113313181 in words is "thirteen billion, one hundred thirteen million, three hundred thirteen thousand, one hundred eighty-one".