13041131140 has 48 divisors (see below), whose sum is σ = 27516727728. Its totient is φ = 5191675904.

The previous prime is 13041131101. The next prime is 13041131149. The reversal of 13041131140 is 4113114031.

13041131140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 306460036 + 12734671104 = 17506^2 + 112848^2 .

It is a super-2 number, since 2×13041131140² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13041131149) 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, 8396604 + ... + 8398156.

It is an arithmetic number, because the mean of its divisors is an integer number (573265161).

Almost surely, 2^13041131140 is an apocalyptic number.

13041131140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13041131140 is an abundant number, since it is smaller than the sum of its proper divisors (14475596588).

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

13041131140 is a wasteful number, since it uses less digits than its factorization.

13041131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 13041131140 its reverse (4113114031), we get a palindrome (17154245171).

The spelling of 13041131140 in words is "thirteen billion, forty-one million, one hundred thirty-one thousand, one hundred forty".