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13013197 is a prime number
BaseRepresentation
bin110001101001…
…000011001101
3220111010202021
4301221003031
511312410242
61142530141
7215416231
oct61510315
926433667
1013013197
11738900a
124436951
132908222
141a2a5c1
151220b67
hexc690cd

13013197 has 2 divisors, whose sum is σ = 13013198. Its totient is φ = 13013196.

The previous prime is 13013179. The next prime is 13013227. The reversal of 13013197 is 79131031.

13013197 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (13013179) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11634921 + 1378276 = 3411^2 + 1174^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13013197 is a prime.

It is equal to p850057 and since 13013197 and 850057 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13013137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6506598 + 6506599.

It is an arithmetic number, because the mean of its divisors is an integer number (6506599).

Almost surely, 213013197 is an apocalyptic number.

It is an amenable number.

13013197 is a deficient number, since it is larger than the sum of its proper divisors (1).

13013197 is an equidigital number, since it uses as much as digits as its factorization.

13013197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 25.

The square root of 13013197 is about 3607.3809058651. The cubic root of 13013197 is about 235.2130074119.

The spelling of 13013197 in words is "thirteen million, thirteen thousand, one hundred ninety-seven".