11011312121261 has 2 divisors, whose sum is σ = 11011312121262. Its totient is φ = 11011312121260.

The previous prime is 11011312121231. The next prime is 11011312121273. The reversal of 11011312121261 is 16212121311011.

11011312121261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5542234098025 + 5469078023236 = 2354195^2 + 2338606^2 .

It is an emirp because it is prime and its reverse (16212121311011) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11011312121261 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11011312121231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5505656060630 + 5505656060631.

It is an arithmetic number, because the mean of its divisors is an integer number (5505656060631).

Almost surely, 2^{11011312121261} is an apocalyptic number.

It is an amenable number.

11011312121261 is a deficient number, since it is larger than the sum of its proper divisors (1).

11011312121261 is an equidigital number, since it uses as much as digits as its factorization.

11011312121261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 23.

Adding to 11011312121261 its reverse (16212121311011), we get a palindrome (27223433432272).

The spelling of 11011312121261 in words is "eleven trillion, eleven billion, three hundred twelve million, one hundred twenty-one thousand, two hundred sixty-one".