131132313013 has 16 divisors (see below), whose sum is σ = 147204288000. Its totient is φ = 115979048640.

The previous prime is 131132312963. The next prime is 131132313019. The reversal of 131132313013 is 310313231131.

It is not a de Polignac number, because 131132313013 - 2²¹ = 131130215861 is a prime.

It is a super-2 number, since 2×131132313013² (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 (131132313019) 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 in 15 ways as a sum of consecutive naturals, for example, 1278213 + ... + 1376986.

It is an arithmetic number, because the mean of its divisors is an integer number (9200268000).

Almost surely, 2^131132313013 is an apocalyptic number.

131132313013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131132313013 is a deficient number, since it is larger than the sum of its proper divisors (16071974987).

131132313013 is a wasteful number, since it uses less digits than its factorization.

131132313013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655372.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 131132313013 its reverse (310313231131), we get a palindrome (441445544144).

The spelling of 131132313013 in words is "one hundred thirty-one billion, one hundred thirty-two million, three hundred thirteen thousand, thirteen".