131234441013 has 48 divisors (see below), whose sum is σ = 204739372656. Its totient is φ = 80523970560.

The previous prime is 131234440999. The next prime is 131234441027. The reversal of 131234441013 is 310144432131.

131234441013 is a `hidden beast` number, since 1 + 3 + 1 + 234 + 4 + 410 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (131234440999) and next prime (131234441027).

It can be written as a sum of positive squares in 8 ways, for example, as 1074397284 + 130160043729 = 32778^2 + 360777^2 .

It is not a de Polignac number, because 131234441013 - 2⁹ = 131234440501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131234441053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102767131 + ... + 102768407.

It is an arithmetic number, because the mean of its divisors is an integer number (4265403597).

Almost surely, 2^131234441013 is an apocalyptic number.

131234441013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131234441013 is a deficient number, since it is larger than the sum of its proper divisors (73504931643).

131234441013 is a wasteful number, since it uses less digits than its factorization.

131234441013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3171 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131234441013 its reverse (310144432131), we get a palindrome (441378873144).

The spelling of 131234441013 in words is "one hundred thirty-one billion, two hundred thirty-four million, four hundred forty-one thousand, thirteen".