13313331232000 has 144 divisors (see below), whose sum is σ = 33176175544512. Its totient is φ = 5323565721600.

The previous prime is 13313331231979. The next prime is 13313331232001. The reversal of 13313331232000 is 23213331331.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313331232001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98588527 + ... + 98723473.

It is an arithmetic number, because the mean of its divisors is an integer number (230390107948).

Almost surely, 2^{13313331232000} is an apocalyptic number.

13313331232000 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 13313331232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16588087772256).

13313331232000 is an abundant number, since it is smaller than the sum of its proper divisors (19862844312512).

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

13313331232000 is an equidigital number, since it uses as much as digits as its factorization.

13313331232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138061 (or 138037 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 13313331232000 its reverse (23213331331), we get a palindrome (13336544563331).

The spelling of 13313331232000 in words is "thirteen trillion, three hundred thirteen billion, three hundred thirty-one million, two hundred thirty-two thousand".