13531120240 has 120 divisors (see below), whose sum is σ = 34659125424. Its totient is φ = 4909132800.

The previous prime is 13531120189. The next prime is 13531120277. The reversal of 13531120240 is 4202113531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5041939 + ... + 5044621.

Almost surely, 2^13531120240 is an apocalyptic number.

13531120240 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 13531120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17329562712).

13531120240 is an abundant number, since it is smaller than the sum of its proper divisors (21128005184).

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

13531120240 is a wasteful number, since it uses less digits than its factorization.

13531120240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3239 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 13531120240 its reverse (4202113531), we get a palindrome (17733233771).

It can be divided in two parts, 135311 and 20240, that added together give a palindrome (155551).

The spelling of 13531120240 in words is "thirteen billion, five hundred thirty-one million, one hundred twenty thousand, two hundred forty".