113311123022261 has 2 divisors, whose sum is σ = 113311123022262. Its totient is φ = 113311123022260.

The previous prime is 113311123022203. The next prime is 113311123022263. The reversal of 113311123022261 is 162220321113311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84876697251025 + 28434425771236 = 9212855^2 + 5332394^2 .

It is an emirp because it is prime and its reverse (162220321113311) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-113311123022261 is a prime.

Together with 113311123022263, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113311123022263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56655561511130 + 56655561511131.

It is an arithmetic number, because the mean of its divisors is an integer number (56655561511131).

Almost surely, 2^{113311123022261} is an apocalyptic number.

It is an amenable number.

113311123022261 is a deficient number, since it is larger than the sum of its proper divisors (1).

113311123022261 is an equidigital number, since it uses as much as digits as its factorization.

113311123022261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 29.

Adding to 113311123022261 its reverse (162220321113311), we get a palindrome (275531444135572).

The spelling of 113311123022261 in words is "one hundred thirteen trillion, three hundred eleven billion, one hundred twenty-three million, twenty-two thousand, two hundred sixty-one".