13133024605116 has 540 divisors, whose sum is σ = 38443724982432. Its totient is φ = 3905742716928.

The previous prime is 13133024605097. The next prime is 13133024605117. The reversal of 13133024605116 is 61150642033131.

13133024605116 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 30 + 2 + 4 + 605 + 1 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133024605117) by changing a digit.

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 179 ways as a sum of consecutive naturals, for example, 68046759516 + ... + 68046759708.

Almost surely, 2^{13133024605116} 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 13133024605116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19221862491216).

13133024605116 is an abundant number, since it is smaller than the sum of its proper divisors (25310700377316).

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

13133024605116 is a wasteful number, since it uses less digits than its factorization.

13133024605116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 13133024605116 its reverse (61150642033131), we get a palindrome (74283666638247).

The spelling of 13133024605116 in words is "thirteen trillion, one hundred thirty-three billion, twenty-four million, six hundred five thousand, one hundred sixteen".