13013324203000 has 256 divisors, whose sum is σ = 35769746188800. Its totient is φ = 4378266880000.

The previous prime is 13013324202883. The next prime is 13013324203049. The reversal of 13013324203000 is 30242331031.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 10443255 + ... + 11622745.

It is an arithmetic number, because the mean of its divisors is an integer number (139725571050).

Almost surely, 2^{13013324203000} is an apocalyptic number.

13013324203000 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 13013324203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17884873094400).

13013324203000 is an abundant number, since it is smaller than the sum of its proper divisors (22756421985800).

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

13013324203000 is a wasteful number, since it uses less digits than its factorization.

13013324203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179599 (or 1179585 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 13013324203000 its reverse (30242331031), we get a palindrome (13043566534031).

The spelling of 13013324203000 in words is "thirteen trillion, thirteen billion, three hundred twenty-four million, two hundred three thousand".