11611121111131 has 2 divisors, whose sum is σ = 11611121111132. Its totient is φ = 11611121111130.

The previous prime is 11611121111129. The next prime is 11611121111167. The reversal of 11611121111131 is 13111112111611.

It is a m-pointer prime, because the next prime (11611121111167) can be obtained adding 11611121111131 to its product of digits (36).

It is a weak prime.

It is an emirp because it is prime and its reverse (13111112111611) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11611121111131 - 2¹ = 11611121111129 is a prime.

It is a super-2 number, since 2×11611121111131² (a number of 27 digits) contains 22 as substring.

Together with 11611121111129, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (11611121111731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5805560555565 + 5805560555566.

It is an arithmetic number, because the mean of its divisors is an integer number (5805560555566).

Almost surely, 2^{11611121111131} is an apocalyptic number.

11611121111131 is a deficient number, since it is larger than the sum of its proper divisors (1).

11611121111131 is an equidigital number, since it uses as much as digits as its factorization.

11611121111131 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36, while the sum is 22.

Adding to 11611121111131 its reverse (13111112111611), we get a palindrome (24722233222742).

The spelling of 11611121111131 in words is "eleven trillion, six hundred eleven billion, one hundred twenty-one million, one hundred eleven thousand, one hundred thirty-one".