113113101313 has 2 divisors, whose sum is σ = 113113101314. Its totient is φ = 113113101312.

The previous prime is 113113101259. The next prime is 113113101317. The reversal of 113113101313 is 313101311311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79339115584 + 33773985729 = 281672^2 + 183777^2 .

It is a cyclic number.

It is not a de Polignac number, because 113113101313 - 2²¹ = 113111004161 is a prime.

It is not a weakly prime, because it can be changed into another prime (113113101317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56556550656 + 56556550657.

It is an arithmetic number, because the mean of its divisors is an integer number (56556550657).

Almost surely, 2^113113101313 is an apocalyptic number.

It is an amenable number.

113113101313 is a deficient number, since it is larger than the sum of its proper divisors (1).

113113101313 is an equidigital number, since it uses as much as digits as its factorization.

113113101313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 19.

Adding to 113113101313 its reverse (313101311311), we get a palindrome (426214412624).

The spelling of 113113101313 in words is "one hundred thirteen billion, one hundred thirteen million, one hundred one thousand, three hundred thirteen".