132031120013 has 12 divisors (see below), whose sum is σ = 146134143540. Its totient is φ = 118580948352.

The previous prime is 132031119991. The next prime is 132031120021. The reversal of 132031120013 is 310021130231.

It can be written as a sum of positive squares in 6 ways, for example, as 1343808964 + 130687311049 = 36658^2 + 361507^2 .

It is a de Polignac number, because none of the positive numbers 2^k-132031120013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132031119973 and 132031120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132031120033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3691568 + ... + 3727161.

It is an arithmetic number, because the mean of its divisors is an integer number (12177845295).

Almost surely, 2^132031120013 is an apocalyptic number.

132031120013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132031120013 is a deficient number, since it is larger than the sum of its proper divisors (14103023527).

132031120013 is an equidigital number, since it uses as much as digits as its factorization.

132031120013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7418816 (or 7418779 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 132031120013 its reverse (310021130231), we get a palindrome (442052250244).

The spelling of 132031120013 in words is "one hundred thirty-two billion, thirty-one million, one hundred twenty thousand, thirteen".