11141132313121 has 2 divisors, whose sum is σ = 11141132313122. Its totient is φ = 11141132313120.

The previous prime is 11141132313107. The next prime is 11141132313131. The reversal of 11141132313121 is 12131323114111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6614854788096 + 4526277525025 = 2571936^2 + 2127505^2 .

It is a cyclic number.

It is not a de Polignac number, because 11141132313121 - 2¹¹ = 11141132311073 is a prime.

It is not a weakly prime, because it can be changed into another prime (11141132313131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5570566156560 + 5570566156561.

It is an arithmetic number, because the mean of its divisors is an integer number (5570566156561).

Almost surely, 2^{11141132313121} is an apocalyptic number.

It is an amenable number.

11141132313121 is a deficient number, since it is larger than the sum of its proper divisors (1).

11141132313121 is an equidigital number, since it uses as much as digits as its factorization.

11141132313121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 25.

Adding to 11141132313121 its reverse (12131323114111), we get a palindrome (23272455427232).

The spelling of 11141132313121 in words is "eleven trillion, one hundred forty-one billion, one hundred thirty-two million, three hundred thirteen thousand, one hundred twenty-one".