11331131122261 has 2 divisors, whose sum is σ = 11331131122262. Its totient is φ = 11331131122260.

The previous prime is 11331131122253. The next prime is 11331131122277. The reversal of 11331131122261 is 16222113113311.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11068223687236 + 262907435025 = 3326894^2 + 512745^2 .

It is a cyclic number.

It is not a de Polignac number, because 11331131122261 - 2³ = 11331131122253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11331131122291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5665565561130 + 5665565561131.

It is an arithmetic number, because the mean of its divisors is an integer number (5665565561131).

Almost surely, 2^{11331131122261} is an apocalyptic number.

It is an amenable number.

11331131122261 is a deficient number, since it is larger than the sum of its proper divisors (1).

11331131122261 is an equidigital number, since it uses as much as digits as its factorization.

11331131122261 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1296, while the sum is 28.

Adding to 11331131122261 its reverse (16222113113311), we get a palindrome (27553244235572).

The spelling of 11331131122261 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, one hundred twenty-two thousand, two hundred sixty-one".