13501323514420 has 144 divisors (see below), whose sum is σ = 33483996241920. Its totient is φ = 4558583183616.

The previous prime is 13501323514391. The next prime is 13501323514543. The reversal of 13501323514420 is 2441532310531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235231086 + ... + 235288474.

It is an arithmetic number, because the mean of its divisors is an integer number (232527751680).

Almost surely, 2^{13501323514420} is an apocalyptic number.

13501323514420 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 13501323514420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16741998120960).

13501323514420 is an abundant number, since it is smaller than the sum of its proper divisors (19982672727500).

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

13501323514420 is a wasteful number, since it uses less digits than its factorization.

13501323514420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61062 (or 61053 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 13501323514420 its reverse (2441532310531), we get a palindrome (15942855824951).

The spelling of 13501323514420 in words is "thirteen trillion, five hundred one billion, three hundred twenty-three million, five hundred fourteen thousand, four hundred twenty".