Search a number
-
+
121331311333 is a prime number
BaseRepresentation
bin111000011111111101…
…0001110001011100101
3102121011210021020022121
41300333322032023211
53441441303430313
6131423331025541
711523463062361
oct1607772161345
9377153236277
10121331311333
11475023a9021
121b62173b2b1
13b597c6615b
145c300982a1
153251ccd28d
hex1c3fe8e2e5

121331311333 has 2 divisors, whose sum is σ = 121331311334. Its totient is φ = 121331311332.

The previous prime is 121331311327. The next prime is 121331311393. The reversal of 121331311333 is 333113133121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97714383649 + 23616927684 = 312593^2 + 153678^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-121331311333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121331311298 and 121331311307.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121331311393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60665655666 + 60665655667.

It is an arithmetic number, because the mean of its divisors is an integer number (60665655667).

Almost surely, 2121331311333 is an apocalyptic number.

It is an amenable number.

121331311333 is a deficient number, since it is larger than the sum of its proper divisors (1).

121331311333 is an equidigital number, since it uses as much as digits as its factorization.

121331311333 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1458, while the sum is 25.

Adding to 121331311333 its reverse (333113133121), we get a palindrome (454444444454).

The spelling of 121331311333 in words is "one hundred twenty-one billion, three hundred thirty-one million, three hundred eleven thousand, three hundred thirty-three".