11301133113133 has 2 divisors, whose sum is σ = 11301133113134. Its totient is φ = 11301133113132.

The previous prime is 11301133113131. The next prime is 11301133113163. The reversal of 11301133113133 is 33131133110311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8083547412964 + 3217585700169 = 2843158^2 + 1793763^2 .

It is an emirp because it is prime and its reverse (33131133110311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11301133113133 - 2¹ = 11301133113131 is a prime.

Together with 11301133113131, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 11301133113098 and 11301133113107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11301133113131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5650566556566 + 5650566556567.

It is an arithmetic number, because the mean of its divisors is an integer number (5650566556567).

Almost surely, 2^{11301133113133} is an apocalyptic number.

It is an amenable number.

11301133113133 is a deficient number, since it is larger than the sum of its proper divisors (1).

11301133113133 is an equidigital number, since it uses as much as digits as its factorization.

11301133113133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729, while the sum is 25.

Adding to 11301133113133 its reverse (33131133110311), we get a palindrome (44432266223444).

The spelling of 11301133113133 in words is "eleven trillion, three hundred one billion, one hundred thirty-three million, one hundred thirteen thousand, one hundred thirty-three".