13531135410 has 144 divisors (see below), whose sum is σ = 38391807168. Its totient is φ = 3304828800.

The previous prime is 13531135379. The next prime is 13531135411. The reversal of 13531135410 is 1453113531.

It is a happy number.

13531135410 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 113 + 541 + 0 = 666.

13531135410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13531135411) 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 71 ways as a sum of consecutive naturals, for example, 1989115 + ... + 1995905.

It is an arithmetic number, because the mean of its divisors is an integer number (266609772).

Almost surely, 2^13531135410 is an apocalyptic number.

13531135410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13531135410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19195903584).

13531135410 is an abundant number, since it is smaller than the sum of its proper divisors (24860671758).

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

13531135410 is a wasteful number, since it uses less digits than its factorization.

13531135410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6961 (or 6945 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 13531135410 its reverse (1453113531), we get a palindrome (14984248941).

The spelling of 13531135410 in words is "thirteen billion, five hundred thirty-one million, one hundred thirty-five thousand, four hundred ten".