Search a number
-
+
133036200113 is a prime number
BaseRepresentation
bin111101111100110010…
…0110101000010110001
3110201101112002012011212
41323321210311002301
54134424231400423
6141041015245505
712416522020505
oct1737144650261
9421345065155
10133036200113
1151469515223
1221949679895
13c711c2214b
146620816305
1536d96a8578
hex1ef99350b1

133036200113 has 2 divisors, whose sum is σ = 133036200114. Its totient is φ = 133036200112.

The previous prime is 133036200071. The next prime is 133036200169. The reversal of 133036200113 is 311002630331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113573718049 + 19462482064 = 337007^2 + 139508^2 .

It is an emirp because it is prime and its reverse (311002630331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133036200113 - 212 = 133036196017 is a prime.

It is not a weakly prime, because it can be changed into another prime (133036200313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66518100056 + 66518100057.

It is an arithmetic number, because the mean of its divisors is an integer number (66518100057).

Almost surely, 2133036200113 is an apocalyptic number.

It is an amenable number.

133036200113 is a deficient number, since it is larger than the sum of its proper divisors (1).

133036200113 is an equidigital number, since it uses as much as digits as its factorization.

133036200113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 133036200113 its reverse (311002630331), we get a palindrome (444038830444).

The spelling of 133036200113 in words is "one hundred thirty-three billion, thirty-six million, two hundred thousand, one hundred thirteen".