113312113223261 has 2 divisors, whose sum is σ = 113312113223262. Its totient is φ = 113312113223260.

The previous prime is 113312113223251. The next prime is 113312113223311. The reversal of 113312113223261 is 162322311213311.

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., 56802223725625 + 56509889497636 = 7536725^2 + 7517306^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-113312113223261 is a prime.

It is a super-2 number, since 2×113312113223261² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113312113223251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56656056611630 + 56656056611631.

It is an arithmetic number, because the mean of its divisors is an integer number (56656056611631).

Almost surely, 2^{113312113223261} is an apocalyptic number.

It is an amenable number.

113312113223261 is a deficient number, since it is larger than the sum of its proper divisors (1).

113312113223261 is an equidigital number, since it uses as much as digits as its factorization.

113312113223261 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7776, while the sum is 32.

Adding to 113312113223261 its reverse (162322311213311), we get a palindrome (275634424436572).

The spelling of 113312113223261 in words is "one hundred thirteen trillion, three hundred twelve billion, one hundred thirteen million, two hundred twenty-three thousand, two hundred sixty-one".