13133123020224 has 224 divisors, whose sum is σ = 39592862729280. Its totient is φ = 4266373939200.

The previous prime is 13133123020223. The next prime is 13133123020309. The reversal of 13133123020224 is 42202032133131.

13133123020224 is a `hidden beast` number, since 1 + 3 + 1 + 331 + 2 + 302 + 0 + 2 + 24 = 666.

13133123020224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133123020223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66569472 + ... + 66766464.

It is an arithmetic number, because the mean of its divisors is an integer number (176753851470).

Almost surely, 2^{13133123020224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13133123020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19796431364640).

13133123020224 is an abundant number, since it is smaller than the sum of its proper divisors (26459739709056).

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

13133123020224 is a wasteful number, since it uses less digits than its factorization.

13133123020224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197996 (or 197980 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13133123020224 its reverse (42202032133131), we get a palindrome (55335155153355).

The spelling of 13133123020224 in words is "thirteen trillion, one hundred thirty-three billion, one hundred twenty-three million, twenty thousand, two hundred twenty-four".