131331311113 has 2 divisors, whose sum is σ = 131331311114. Its totient is φ = 131331311112.

The previous prime is 131331311107. The next prime is 131331311123. The reversal of 131331311113 is 311113133131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86161035024 + 45170276089 = 293532^2 + 212533^2 .

It is a cyclic number.

It is not a de Polignac number, because 131331311113 - 2⁵ = 131331311081 is a prime.

It is not a weakly prime, because it can be changed into another prime (131331311123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65665655556 + 65665655557.

It is an arithmetic number, because the mean of its divisors is an integer number (65665655557).

Almost surely, 2^131331311113 is an apocalyptic number.

It is an amenable number.

131331311113 is a deficient number, since it is larger than the sum of its proper divisors (1).

131331311113 is an equidigital number, since it uses as much as digits as its factorization.

131331311113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 243, while the sum is 22.

Adding to 131331311113 its reverse (311113133131), we get a palindrome (442444444244).

The spelling of 131331311113 in words is "one hundred thirty-one billion, three hundred thirty-one million, three hundred eleven thousand, one hundred thirteen".