Search a number
-
+
13132351361 is a prime number
BaseRepresentation
bin11000011101011111…
…11100011110000001
31020220012211120101202
430032233330132001
5203343340220421
610011035510545
7643301100443
oct141657743601
936805746352
1013132351361
115629962a48
122665bb8455
13131393180c
148c817c493
1551cd9710b
hex30ebfc781

13132351361 has 2 divisors, whose sum is σ = 13132351362. Its totient is φ = 13132351360.

The previous prime is 13132351343. The next prime is 13132351411. The reversal of 13132351361 is 16315323131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12838023025 + 294328336 = 113305^2 + 17156^2 .

It is a cyclic number.

It is not a de Polignac number, because 13132351361 - 210 = 13132350337 is a prime.

It is not a weakly prime, because it can be changed into another prime (13132351261) 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, 6566175680 + 6566175681.

It is an arithmetic number, because the mean of its divisors is an integer number (6566175681).

Almost surely, 213132351361 is an apocalyptic number.

It is an amenable number.

13132351361 is a deficient number, since it is larger than the sum of its proper divisors (1).

13132351361 is an equidigital number, since it uses as much as digits as its factorization.

13132351361 is an odious number, because the sum of its binary digits is odd.

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

Adding to 13132351361 its reverse (16315323131), we get a palindrome (29447674492).

The spelling of 13132351361 in words is "thirteen billion, one hundred thirty-two million, three hundred fifty-one thousand, three hundred sixty-one".