13320234101000 has 256 divisors, whose sum is σ = 32798079774720. Its totient is φ = 5057095680000.

The previous prime is 13320234100937. The next prime is 13320234101029. The reversal of 13320234101000 is 10143202331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 424777322 + ... + 424808678.

It is an arithmetic number, because the mean of its divisors is an integer number (128117499120).

Almost surely, 2^{13320234101000} is an apocalyptic number.

13320234101000 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 13320234101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16399039887360).

13320234101000 is an abundant number, since it is smaller than the sum of its proper divisors (19477845673720).

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

13320234101000 is a wasteful number, since it uses less digits than its factorization.

13320234101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31673 (or 31659 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13320234101000 its reverse (10143202331), we get a palindrome (13330377303331).

The spelling of 13320234101000 in words is "thirteen trillion, three hundred twenty billion, two hundred thirty-four million, one hundred one thousand".