113306082121 has 2 divisors, whose sum is σ = 113306082122. Its totient is φ = 113306082120.

The previous prime is 113306082119. The next prime is 113306082137. The reversal of 113306082121 is 121280603311.

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., 58690392121 + 54615690000 = 242261^2 + 233700^2 .

It is a cyclic number.

It is not a de Polignac number, because 113306082121 - 2¹ = 113306082119 is a prime.

It is a super-2 number, since 2×113306082121² (a number of 23 digits) contains 22 as substring.

Together with 113306082119, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 113306082121.

It is not a weakly prime, because it can be changed into another prime (113306082161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56653041060 + 56653041061.

It is an arithmetic number, because the mean of its divisors is an integer number (56653041061).

Almost surely, 2^113306082121 is an apocalyptic number.

It is an amenable number.

113306082121 is a deficient number, since it is larger than the sum of its proper divisors (1).

113306082121 is an equidigital number, since it uses as much as digits as its factorization.

113306082121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 113306082121 its reverse (121280603311), we get a palindrome (234586685432).

The spelling of 113306082121 in words is "one hundred thirteen billion, three hundred six million, eighty-two thousand, one hundred twenty-one".