Search a number
-
+
13021320133189 is a prime number
BaseRepresentation
bin1011110101111100001100…
…1010010011101001000101
31201002211022012002111211001
42331133003022103221011
53201320130423230224
643405524545013301
72512521310631164
oct275370312235105
951084265074731
1013021320133189
114170346828385
121563751924231
13735b9c9c9c44
1433034178d3db
15178aab26d544
hexbd7c3293a45

13021320133189 has 2 divisors, whose sum is σ = 13021320133190. Its totient is φ = 13021320133188.

The previous prime is 13021320133181. The next prime is 13021320133201. The reversal of 13021320133189 is 98133102312031.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9478135080964 + 3543185052225 = 3078658^2 + 1882335^2 .

It is a cyclic number.

It is not a de Polignac number, because 13021320133189 - 23 = 13021320133181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13021320133181) 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, 6510660066594 + 6510660066595.

It is an arithmetic number, because the mean of its divisors is an integer number (6510660066595).

Almost surely, 213021320133189 is an apocalyptic number.

It is an amenable number.

13021320133189 is a deficient number, since it is larger than the sum of its proper divisors (1).

13021320133189 is an equidigital number, since it uses as much as digits as its factorization.

13021320133189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 13021320133189 in words is "thirteen trillion, twenty-one billion, three hundred twenty million, one hundred thirty-three thousand, one hundred eighty-nine".