11131330131133 has 2 divisors, whose sum is σ = 11131330131134. Its totient is φ = 11131330131132.

The previous prime is 11131330131113. The next prime is 11131330131149. The reversal of 11131330131133 is 33113103313111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10354256146809 + 777073984324 = 3217803^2 + 881518^2 .

It is an emirp because it is prime and its reverse (33113103313111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11131330131133 - 2¹⁷ = 11131330000061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11131330131098 and 11131330131107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11131330131113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5565665065566 + 5565665065567.

It is an arithmetic number, because the mean of its divisors is an integer number (5565665065567).

Almost surely, 2^{11131330131133} is an apocalyptic number.

It is an amenable number.

11131330131133 is a deficient number, since it is larger than the sum of its proper divisors (1).

11131330131133 is an equidigital number, since it uses as much as digits as its factorization.

11131330131133 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 11131330131133 its reverse (33113103313111), we get a palindrome (44244433444244).

The spelling of 11131330131133 in words is "eleven trillion, one hundred thirty-one billion, three hundred thirty million, one hundred thirty-one thousand, one hundred thirty-three".