13033101002004 has 144 divisors (see below), whose sum is σ = 35720823552960. Its totient is φ = 3993147072000.

The previous prime is 13033101002003. The next prime is 13033101002011. The reversal of 13033101002004 is 40020010133031.

13033101002004 is a `hidden beast` number, since 1 + 30 + 331 + 0 + 100 + 200 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13033101002003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3792159 + ... + 6359769.

Almost surely, 2^{13033101002004} 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 13033101002004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17860411776480).

13033101002004 is an abundant number, since it is smaller than the sum of its proper divisors (22687722550956).

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

13033101002004 is a wasteful number, since it uses less digits than its factorization.

13033101002004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567862 (or 2567857 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13033101002004 its reverse (40020010133031), we get a palindrome (53053111135035).

The spelling of 13033101002004 in words is "thirteen trillion, thirty-three billion, one hundred one million, two thousand, four".