113131131353 has 2 divisors, whose sum is σ = 113131131354. Its totient is φ = 113131131352.

The previous prime is 113131131287. The next prime is 113131131401. The reversal of 113131131353 is 353131131311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85935163609 + 27195967744 = 293147^2 + 164912^2 .

It is a cyclic number.

It is not a de Polignac number, because 113131131353 - 2¹⁸ = 113130869209 is a prime.

It is a super-2 number, since 2×113131131353² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (113131131053) 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, 56565565676 + 56565565677.

It is an arithmetic number, because the mean of its divisors is an integer number (56565565677).

Almost surely, 2^113131131353 is an apocalyptic number.

It is an amenable number.

113131131353 is a deficient number, since it is larger than the sum of its proper divisors (1).

113131131353 is an equidigital number, since it uses as much as digits as its factorization.

113131131353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1215, while the sum is 26.

Adding to 113131131353 its reverse (353131131311), we get a palindrome (466262262664).

The spelling of 113131131353 in words is "one hundred thirteen billion, one hundred thirty-one million, one hundred thirty-one thousand, three hundred fifty-three".