13431464520 has 128 divisors (see below), whose sum is σ = 41302103040. Its totient is φ = 3492437760.

The previous prime is 13431464513. The next prime is 13431464569. The reversal of 13431464520 is 2546413431.

It is a happy 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, 3563677 + ... + 3567443.

It is an arithmetic number, because the mean of its divisors is an integer number (322672680).

Almost surely, 2^13431464520 is an apocalyptic number.

13431464520 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 13431464520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20651051520).

13431464520 is an abundant number, since it is smaller than the sum of its proper divisors (27870638520).

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

13431464520 is a wasteful number, since it uses less digits than its factorization.

13431464520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4515 (or 4511 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 13431464520 its reverse (2546413431), we get a palindrome (15977877951).

The spelling of 13431464520 in words is "thirteen billion, four hundred thirty-one million, four hundred sixty-four thousand, five hundred twenty".