11131301331121 has 2 divisors, whose sum is σ = 11131301331122. Its totient is φ = 11131301331120.

The previous prime is 11131301331083. The next prime is 11131301331127. The reversal of 11131301331121 is 12113310313111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6108485256225 + 5022816074896 = 2471535^2 + 2241164^2 .

It is a cyclic number.

It is not a de Polignac number, because 11131301331121 - 2¹⁵ = 11131301298353 is a prime.

It is a super-2 number, since 2×11131301331121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11131301331092 and 11131301331101.

It is not a weakly prime, because it can be changed into another prime (11131301331127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5565650665560 + 5565650665561.

It is an arithmetic number, because the mean of its divisors is an integer number (5565650665561).

Almost surely, 2^{11131301331121} is an apocalyptic number.

It is an amenable number.

11131301331121 is a deficient number, since it is larger than the sum of its proper divisors (1).

11131301331121 is an equidigital number, since it uses as much as digits as its factorization.

11131301331121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 22.

Adding to 11131301331121 its reverse (12113310313111), we get a palindrome (23244611644232).

The spelling of 11131301331121 in words is "eleven trillion, one hundred thirty-one billion, three hundred one million, three hundred thirty-one thousand, one hundred twenty-one".