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13121033197 is a prime number
BaseRepresentation
bin11000011100001001…
…10001001111101101
31020212102112112210111
430032010301033231
5203332441030242
610005553140021
7643102641046
oct141604611755
936772475714
1013121033197
115623532498
12266225a611
13131149ac8c
148c68738cd
1551bdad817
hex30e1313ed

13121033197 has 2 divisors, whose sum is σ = 13121033198. Its totient is φ = 13121033196.

The previous prime is 13121033183. The next prime is 13121033221. The reversal of 13121033197 is 79133012131.

13121033197 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8425220521 + 4695812676 = 91789^2 + 68526^2 .

It is a cyclic number.

It is not a de Polignac number, because 13121033197 - 215 = 13121000429 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13121033117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560516598 + 6560516599.

It is an arithmetic number, because the mean of its divisors is an integer number (6560516599).

Almost surely, 213121033197 is an apocalyptic number.

It is an amenable number.

13121033197 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121033197 is an equidigital number, since it uses as much as digits as its factorization.

13121033197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 31.

The spelling of 13121033197 in words is "thirteen billion, one hundred twenty-one million, thirty-three thousand, one hundred ninety-seven".