Search a number
-
+
13136196901 is a prime number
BaseRepresentation
bin11000011101111101…
…00111010100100101
31020220111001221111011
430032332213110211
5203400331300101
610011254142221
7643345555102
oct141676472445
936814057434
1013136196901
11563104a183
122667351971
131314679c99
148c889daa9
1551d3a6751
hex30efa7525

13136196901 has 2 divisors, whose sum is σ = 13136196902. Its totient is φ = 13136196900.

The previous prime is 13136196889. The next prime is 13136197001. The reversal of 13136196901 is 10969163131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11848104801 + 1288092100 = 108849^2 + 35890^2 .

It is a cyclic number.

It is not a de Polignac number, because 13136196901 - 25 = 13136196869 is a prime.

It is a super-3 number, since 3×131361969013 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13136196301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6568098450 + 6568098451.

It is an arithmetic number, because the mean of its divisors is an integer number (6568098451).

Almost surely, 213136196901 is an apocalyptic number.

It is an amenable number.

13136196901 is a deficient number, since it is larger than the sum of its proper divisors (1).

13136196901 is an equidigital number, since it uses as much as digits as its factorization.

13136196901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26244, while the sum is 40.

The spelling of 13136196901 in words is "thirteen billion, one hundred thirty-six million, one hundred ninety-six thousand, nine hundred one".