131105343013 has 16 divisors (see below), whose sum is σ = 142689198960. Its totient is φ = 120159244800.

The previous prime is 131105342959. The next prime is 131105343023. The reversal of 131105343013 is 310343501131.

It can be written as a sum of positive squares in 8 ways, for example, as 73650724 + 131031692289 = 8582^2 + 361983^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131105343013 is a prime.

It is a super-2 number, since 2×131105343013² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131105343023) 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 in 15 ways as a sum of consecutive naturals, for example, 1446078 + ... + 1534063.

It is an arithmetic number, because the mean of its divisors is an integer number (8918074935).

Almost surely, 2^131105343013 is an apocalyptic number.

It is an amenable number.

131105343013 is a deficient number, since it is larger than the sum of its proper divisors (11583855947).

131105343013 is a wasteful number, since it uses less digits than its factorization.

131105343013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980248.

The product of its (nonzero) digits is 1620, while the sum is 25.

Adding to 131105343013 its reverse (310343501131), we get a palindrome (441448844144).

The spelling of 131105343013 in words is "one hundred thirty-one billion, one hundred five million, three hundred forty-three thousand, thirteen".