13023312003200 has 192 divisors, whose sum is σ = 32576214096000. Its totient is φ = 5144090112000.

The previous prime is 13023312003193. The next prime is 13023312003211. The reversal of 13023312003200 is 230021332031.

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 23 ways as a sum of consecutive naturals, for example, 122439641 + ... + 122545959.

It is an arithmetic number, because the mean of its divisors is an integer number (169667781750).

Almost surely, 2^{13023312003200} is an apocalyptic number.

13023312003200 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 13023312003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16288107048000).

13023312003200 is an abundant number, since it is smaller than the sum of its proper divisors (19552902092800).

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

13023312003200 is a wasteful number, since it uses less digits than its factorization.

13023312003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106823 (or 106806 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13023312003200 its reverse (230021332031), we get a palindrome (13253333335231).

The spelling of 13023312003200 in words is "thirteen trillion, twenty-three billion, three hundred twelve million, three thousand, two hundred".