113121120181 has 2 divisors, whose sum is σ = 113121120182. Its totient is φ = 113121120180.

The previous prime is 113121120169. The next prime is 113121120193. The reversal of 113121120181 is 181021121311.

It is a balanced prime because it is at equal distance from previous prime (113121120169) and next prime (113121120193).

It can be written as a sum of positive squares in only one way, i.e., 105719271025 + 7401849156 = 325145^2 + 86034^2 .

It is an emirp because it is prime and its reverse (181021121311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113121120181 - 2¹⁹ = 113120595893 is a prime.

It is a super-2 number, since 2×113121120181² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113121129181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56560560090 + 56560560091.

It is an arithmetic number, because the mean of its divisors is an integer number (56560560091).

Almost surely, 2^113121120181 is an apocalyptic number.

It is an amenable number.

113121120181 is a deficient number, since it is larger than the sum of its proper divisors (1).

113121120181 is an equidigital number, since it uses as much as digits as its factorization.

113121120181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 22.

Adding to 113121120181 its reverse (181021121311), we get a palindrome (294142241492).

The spelling of 113121120181 in words is "one hundred thirteen billion, one hundred twenty-one million, one hundred twenty thousand, one hundred eighty-one".