13211013440 has 56 divisors (see below), whose sum is σ = 32226043752. Its totient is φ = 5155512320.

The previous prime is 13211013421. The next prime is 13211013467. The reversal of 13211013440 is 4431011231.

It can be written as a sum of positive squares in 4 ways, for example, as 641912896 + 12569100544 = 25336^2 + 112112^2 .

It is a super-2 number, since 2×13211013440² (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 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 7 ways as a sum of consecutive naturals, for example, 490349 + ... + 516588.

It is an arithmetic number, because the mean of its divisors is an integer number (575465067).

Almost surely, 2^13211013440 is an apocalyptic number.

13211013440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13211013440 is an abundant number, since it is smaller than the sum of its proper divisors (19015030312).

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

13211013440 is a wasteful number, since it uses less digits than its factorization.

13211013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006995 (or 1006985 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13211013440 its reverse (4431011231), we get a palindrome (17642024671).

The spelling of 13211013440 in words is "thirteen billion, two hundred eleven million, thirteen thousand, four hundred forty".