13211430240 has 192 divisors, whose sum is σ = 43481914560. Its totient is φ = 3367526400.

The previous prime is 13211430229. The next prime is 13211430251. The reversal of 13211430240 is 4203411231.

13211430240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13211430229) and next prime (13211430251).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1401222 + ... + 1410618.

It is an arithmetic number, because the mean of its divisors is an integer number (226468305).

Almost surely, 2^13211430240 is an apocalyptic number.

13211430240 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 13211430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21740957280).

13211430240 is an abundant number, since it is smaller than the sum of its proper divisors (30270484320).

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

13211430240 is a wasteful number, since it uses less digits than its factorization.

13211430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9545 (or 9537 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13211430240 its reverse (4203411231), we get a palindrome (17414841471).

The spelling of 13211430240 in words is "thirteen billion, two hundred eleven million, four hundred thirty thousand, two hundred forty".