13300101134404 has 72 divisors (see below), whose sum is σ = 27541720332000. Its totient is φ = 5601883206528.

The previous prime is 13300101134357. The next prime is 13300101134431. The reversal of 13300101134404 is 40443110100331.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42155512 + ... + 42469840.

It is an arithmetic number, because the mean of its divisors is an integer number (382523893500).

Almost surely, 2^{13300101134404} is an apocalyptic number.

13300101134404 is a gapful number since it is divisible by the number (14) 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 13300101134404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13770860166000).

13300101134404 is an abundant number, since it is smaller than the sum of its proper divisors (14241619197596).

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

13300101134404 is a wasteful number, since it uses less digits than its factorization.

13300101134404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318065 (or 318056 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 13300101134404 its reverse (40443110100331), we get a palindrome (53743211234735).

The spelling of 13300101134404 in words is "thirteen trillion, three hundred billion, one hundred one million, one hundred thirty-four thousand, four hundred four".