Search a number
-
+
13133240101 is a prime number
BaseRepresentation
bin11000011101100110…
…10101011100100101
31020220021111201112001
430032303111130211
5203344102140401
610011110525301
7643311461512
oct141663253445
936807451461
1013133240101
11562a40a743
122666366831
131313b831b7
148c8330309
1551cec0601
hex30ecd5725

13133240101 has 2 divisors, whose sum is σ = 13133240102. Its totient is φ = 13133240100.

The previous prime is 13133240083. The next prime is 13133240167. The reversal of 13133240101 is 10104233131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12820127076 + 313113025 = 113226^2 + 17695^2 .

It is a cyclic number.

It is not a de Polignac number, because 13133240101 - 233 = 4543305509 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13133240191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6566620050 + 6566620051.

It is an arithmetic number, because the mean of its divisors is an integer number (6566620051).

Almost surely, 213133240101 is an apocalyptic number.

It is an amenable number.

13133240101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13133240101 is an equidigital number, since it uses as much as digits as its factorization.

13133240101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13133240101 its reverse (10104233131), we get a palindrome (23237473232).

The spelling of 13133240101 in words is "thirteen billion, one hundred thirty-three million, two hundred forty thousand, one hundred one".