13531201040 has 120 divisors (see below), whose sum is σ = 37287446040. Its totient is φ = 4551665664.

The previous prime is 13531200997. The next prime is 13531201043. The reversal of 13531201040 is 4010213531.

It can be written as a sum of positive squares in 4 ways, for example, as 486820096 + 13044380944 = 22064^2 + 114212^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13531201043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175196 + ... + 240324.

It is an arithmetic number, because the mean of its divisors is an integer number (310728717).

Almost surely, 2^13531201040 is an apocalyptic number.

13531201040 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 13531201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18643723020).

13531201040 is an abundant number, since it is smaller than the sum of its proper divisors (23756245000).

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

13531201040 is a wasteful number, since it uses less digits than its factorization.

13531201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65209 (or 65196 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 13531201040 its reverse (4010213531), we get a palindrome (17541414571).

The spelling of 13531201040 in words is "thirteen billion, five hundred thirty-one million, two hundred one thousand, forty".