13271101440 has 208 divisors, whose sum is σ = 43170632736. Its totient is φ = 3479961600.

The previous prime is 13271101433. The next prime is 13271101541. The reversal of 13271101440 is 4410117231.

It is a super-2 number, since 2×13271101440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13271101440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3746070 + ... + 3749610.

Almost surely, 2^13271101440 is an apocalyptic number.

13271101440 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 13271101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21585316368).

13271101440 is an abundant number, since it is smaller than the sum of its proper divisors (29899531296).

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

13271101440 is an equidigital number, since it uses as much as digits as its factorization.

13271101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3634 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

Adding to 13271101440 its reverse (4410117231), we get a palindrome (17681218671).

The spelling of 13271101440 in words is "thirteen billion, two hundred seventy-one million, one hundred one thousand, four hundred forty".