Search a number
-
+
12013311133 is a prime number
BaseRepresentation
bin10110011000000110…
…01001010010011101
31011000020011102210101
423030003021102131
5144100401424013
65304022541101
7603462313465
oct131403112235
934006142711
1012013311133
11510522350a
1223b3297791
131195b45535
1481d6c4ba5
154a49ee8dd
hex2cc0c949d

12013311133 has 2 divisors, whose sum is σ = 12013311134. Its totient is φ = 12013311132.

The previous prime is 12013311131. The next prime is 12013311143. The reversal of 12013311133 is 33111331021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11930537529 + 82773604 = 109227^2 + 9098^2 .

It is a cyclic number.

It is not a de Polignac number, because 12013311133 - 21 = 12013311131 is a prime.

Together with 12013311131, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 12013311133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12013311131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6006655566 + 6006655567.

It is an arithmetic number, because the mean of its divisors is an integer number (6006655567).

Almost surely, 212013311133 is an apocalyptic number.

It is an amenable number.

12013311133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12013311133 is an equidigital number, since it uses as much as digits as its factorization.

12013311133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 12013311133 its reverse (33111331021), we get a palindrome (45124642154).

The spelling of 12013311133 in words is "twelve billion, thirteen million, three hundred eleven thousand, one hundred thirty-three".