13531010240 has 448 divisors, whose sum is σ = 38573781120. Its totient is φ = 4472832000.

The previous prime is 13531010219. The next prime is 13531010323. The reversal of 13531010240 is 4201013531.

It is a super-2 number, since 2×13531010240² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221819810 + ... + 221819870.

It is an arithmetic number, because the mean of its divisors is an integer number (86102190).

Almost surely, 2^13531010240 is an apocalyptic number.

13531010240 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 13531010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19286890560).

13531010240 is an abundant number, since it is smaller than the sum of its proper divisors (25042770880).

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

13531010240 is a wasteful number, since it uses less digits than its factorization.

13531010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 202 counting only the distinct ones).

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

Adding to 13531010240 its reverse (4201013531), we get a palindrome (17732023771).

The spelling of 13531010240 in words is "thirteen billion, five hundred thirty-one million, ten thousand, two hundred forty".