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13211310120097 is a prime number
BaseRepresentation
bin1100000000111111111101…
…1100100101110010100001
31201202222200220202211210211
43000033333130211302201
53212423230342320342
644033105253454121
72532325403110435
oct300177734456241
951688626684724
1013211310120097
114233981165591
121594535041341
1374aa8a23413b
143396062629c5
1517d9caa07c17
hexc03ff725ca1

13211310120097 has 2 divisors, whose sum is σ = 13211310120098. Its totient is φ = 13211310120096.

The previous prime is 13211310119989. The next prime is 13211310120139. The reversal of 13211310120097 is 79002101311231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13073170787856 + 138139332241 = 3615684^2 + 371671^2 .

It is a cyclic number.

It is not a de Polignac number, because 13211310120097 - 239 = 12661554306209 is a prime.

It is not a weakly prime, because it can be changed into another prime (13211310120997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6605655060048 + 6605655060049.

It is an arithmetic number, because the mean of its divisors is an integer number (6605655060049).

Almost surely, 213211310120097 is an apocalyptic number.

It is an amenable number.

13211310120097 is a deficient number, since it is larger than the sum of its proper divisors (1).

13211310120097 is an equidigital number, since it uses as much as digits as its factorization.

13211310120097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 31.

The spelling of 13211310120097 in words is "thirteen trillion, two hundred eleven billion, three hundred ten million, one hundred twenty thousand, ninety-seven".