13131120132 has 72 divisors (see below), whose sum is σ = 35771672664. Its totient is φ = 4037423616.

The previous prime is 13131120131. The next prime is 13131120133. The reversal of 13131120132 is 23102113131.

13131120132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13131120131) and next prime (13131120133).

It can be written as a sum of positive squares in 4 ways, for example, as 3325367556 + 9805752576 = 57666^2 + 99024^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13131120131) 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 23 ways as a sum of consecutive naturals, for example, 689328 + ... + 708120.

It is an arithmetic number, because the mean of its divisors is an integer number (496828787).

Almost surely, 2^13131120132 is an apocalyptic number.

13131120132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13131120132 is an abundant number, since it is smaller than the sum of its proper divisors (22640552532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13131120132 is a wasteful number, since it uses less digits than its factorization.

13131120132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20309 (or 20304 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13131120132 its reverse (23102113131), we get a palindrome (36233233263).

The spelling of 13131120132 in words is "thirteen billion, one hundred thirty-one million, one hundred twenty thousand, one hundred thirty-two".