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13122100211369 is a prime number
BaseRepresentation
bin1011111011110011101000…
…0111110010111010101001
31201110110102201120221011012
42332330322013302322221
53204443030123230434
643524113135513305
72523016606311122
oct276747207627251
951413381527135
1013122100211369
1141aa062527796
12157b198988835
137425410058b6
14335182271049
1517b508be73ce
hexbef3a1f2ea9

13122100211369 has 2 divisors, whose sum is σ = 13122100211370. Its totient is φ = 13122100211368.

The previous prime is 13122100211173. The next prime is 13122100211399. The reversal of 13122100211369 is 96311200122131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12865937695744 + 256162515625 = 3586912^2 + 506125^2 .

It is a cyclic number.

It is not a de Polignac number, because 13122100211369 - 220 = 13122099162793 is a prime.

It is a super-2 number, since 2×131221002113692 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13122100211399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561050105684 + 6561050105685.

It is an arithmetic number, because the mean of its divisors is an integer number (6561050105685).

Almost surely, 213122100211369 is an apocalyptic number.

It is an amenable number.

13122100211369 is a deficient number, since it is larger than the sum of its proper divisors (1).

13122100211369 is an equidigital number, since it uses as much as digits as its factorization.

13122100211369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 13122100211369 in words is "thirteen trillion, one hundred twenty-two billion, one hundred million, two hundred eleven thousand, three hundred sixty-nine".