13412131040 has 144 divisors (see below), whose sum is σ = 40210524144. Its totient is φ = 4180377600.

The previous prime is 13412131001. The next prime is 13412131043. The reversal of 13412131040 is 4013121431.

13412131040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13412131043) 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, 8480 + ... + 164000.

It is an arithmetic number, because the mean of its divisors is an integer number (279239751).

Almost surely, 2^13412131040 is an apocalyptic number.

13412131040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13412131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20105262072).

13412131040 is an abundant number, since it is smaller than the sum of its proper divisors (26798393104).

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

13412131040 is a wasteful number, since it uses less digits than its factorization.

13412131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155561 (or 155546 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13412131040 its reverse (4013121431), we get a palindrome (17425252471).

The spelling of 13412131040 in words is "thirteen billion, four hundred twelve million, one hundred thirty-one thousand, forty".