13124331200353 has 8 divisors (see below), whose sum is σ = 13446640740456. Its totient is φ = 12802126608000.

The previous prime is 13124331200303. The next prime is 13124331200381. The reversal of 13124331200353 is 35300213342131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1136477527249 + 11987853673104 = 1066057^2 + 3462348^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13124331200353 - 2⁹ = 13124331199841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13124331200303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25983726 + ... + 26484007.

It is an arithmetic number, because the mean of its divisors is an integer number (1680830092557).

Almost surely, 2^{13124331200353} is an apocalyptic number.

It is an amenable number.

13124331200353 is a deficient number, since it is larger than the sum of its proper divisors (322309540103).

13124331200353 is an equidigital number, since it uses as much as digits as its factorization.

13124331200353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52473875.

The product of its (nonzero) digits is 19440, while the sum is 31.

Adding to 13124331200353 its reverse (35300213342131), we get a palindrome (48424544542484).

The spelling of 13124331200353 in words is "thirteen trillion, one hundred twenty-four billion, three hundred thirty-one million, two hundred thousand, three hundred fifty-three".