13020131440 has 160 divisors (see below), whose sum is σ = 32016236544. Its totient is φ = 4917749760.

The previous prime is 13020131419. The next prime is 13020131459. The reversal of 13020131440 is 4413102031.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 21102012 + ... + 21102628.

Almost surely, 2^13020131440 is an apocalyptic number.

13020131440 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 13020131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16008118272).

13020131440 is an abundant number, since it is smaller than the sum of its proper divisors (18996105104).

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

13020131440 is a wasteful number, since it uses less digits than its factorization.

13020131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 13020131440 its reverse (4413102031), we get a palindrome (17433233471).

The spelling of 13020131440 in words is "thirteen billion, twenty million, one hundred thirty-one thousand, four hundred forty".