Search a number
-
+
13133665001 is a prime number
BaseRepresentation
bin11000011101101001…
…11101001011101001
31020220022022022101002
430032310331023221
5203344204240001
610011124004345
7643315211342
oct141664751351
936808268332
1013133665001
11562a67a9a6
1226665306b5
131313ca1712
148c84010c9
1551d05646b
hex30ed3d2e9

13133665001 has 2 divisors, whose sum is σ = 13133665002. Its totient is φ = 13133665000.

The previous prime is 13133664979. The next prime is 13133665009. The reversal of 13133665001 is 10056633131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11951955625 + 1181709376 = 109325^2 + 34376^2 .

It is a cyclic number.

It is not a de Polignac number, because 13133665001 - 218 = 13133402857 is a prime.

It is not a weakly prime, because it can be changed into another prime (13133665009) 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, 6566832500 + 6566832501.

It is an arithmetic number, because the mean of its divisors is an integer number (6566832501).

Almost surely, 213133665001 is an apocalyptic number.

It is an amenable number.

13133665001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13133665001 is an equidigital number, since it uses as much as digits as its factorization.

13133665001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4860, while the sum is 29.

The spelling of 13133665001 in words is "thirteen billion, one hundred thirty-three million, six hundred sixty-five thousand, one".