13002040033104 has 80 divisors (see below), whose sum is σ = 34165980023040. Its totient is φ = 4259624455680.

The previous prime is 13002040033069. The next prime is 13002040033111. The reversal of 13002040033104 is 40133004020031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2000377 + ... + 5477735.

It is an arithmetic number, because the mean of its divisors is an integer number (427074750288).

Almost surely, 2^{13002040033104} 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 13002040033104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17082990011520).

13002040033104 is an abundant number, since it is smaller than the sum of its proper divisors (21163939989936).

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

13002040033104 is a wasteful number, since it uses less digits than its factorization.

13002040033104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3478708 (or 3478702 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13002040033104 its reverse (40133004020031), we get a palindrome (53135044053135).

The spelling of 13002040033104 in words is "thirteen trillion, two billion, forty million, thirty-three thousand, one hundred four".