13142421504320 has 56 divisors (see below), whose sum is σ = 31295846275848. Its totient is φ = 5256892160000.

The previous prime is 13142421504307. The next prime is 13142421504323. The reversal of 13142421504320 is 2340512424131.

It can be written as a sum of positive squares in 4 ways, for example, as 1616722422016 + 11525699082304 = 1271504^2 + 3394952^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13142421504323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25117370 + ... + 25635270.

It is an arithmetic number, because the mean of its divisors is an integer number (558854397783).

Almost surely, 2^{13142421504320} is an apocalyptic number.

13142421504320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13142421504320 is an abundant number, since it is smaller than the sum of its proper divisors (18153424771528).

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

13142421504320 is an equidigital number, since it uses as much as digits as its factorization.

13142421504320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597219 (or 597209 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 13142421504320 its reverse (2340512424131), we get a palindrome (15482933928451).

The spelling of 13142421504320 in words is "thirteen trillion, one hundred forty-two billion, four hundred twenty-one million, five hundred four thousand, three hundred twenty".