13331104301040 has 480 divisors, whose sum is σ = 44895932190720. Its totient is φ = 3265911914496.

The previous prime is 13331104301033. The next prime is 13331104301051. The reversal of 13331104301040 is 4010340113331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13331104301040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 895960321 + ... + 895975199.

It is an arithmetic number, because the mean of its divisors is an integer number (93533192064).

Almost surely, 2^{13331104301040} is an apocalyptic number.

13331104301040 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 13331104301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22447966095360).

13331104301040 is an abundant number, since it is smaller than the sum of its proper divisors (31564827889680).

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

13331104301040 is a wasteful number, since it uses less digits than its factorization.

13331104301040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15169 (or 15134 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13331104301040 its reverse (4010340113331), we get a palindrome (17341444414371).

The spelling of 13331104301040 in words is "thirteen trillion, three hundred thirty-one billion, one hundred four million, three hundred one thousand, forty".