131344443131 has 32 divisors (see below), whose sum is σ = 147768947136. Its totient is φ = 115741440000.

The previous prime is 131344443101. The next prime is 131344443137.

131344443131 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131344443131 is a prime.

It is a super-2 number, since 2×131344443131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131344443137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11105201 + ... + 11117021.

It is an arithmetic number, because the mean of its divisors is an integer number (4617779598).

Almost surely, 2^131344443131 is an apocalyptic number.

131344443131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131344443131 is a deficient number, since it is larger than the sum of its proper divisors (16424504005).

131344443131 is a wasteful number, since it uses less digits than its factorization.

131344443131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12143.

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 131344 and 443131, that added together give a palindrome (574475).

The spelling of 131344443131 in words is "one hundred thirty-one billion, three hundred forty-four million, four hundred forty-three thousand, one hundred thirty-one".