13311200042406 has 128 divisors (see below), whose sum is σ = 34974012902400. Its totient is φ = 3671839019520.

The previous prime is 13311200042401. The next prime is 13311200042443. The reversal of 13311200042406 is 60424000211331.

It is a happy number.

13311200042406 is a `hidden beast` number, since 1 + 3 + 3 + 11 + 200 + 0 + 42 + 406 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13311200042406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311200042401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 304645021 + ... + 304688711.

It is an arithmetic number, because the mean of its divisors is an integer number (273234475800).

Almost surely, 2^{13311200042406} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13311200042406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17487006451200).

13311200042406 is an abundant number, since it is smaller than the sum of its proper divisors (21662812859994).

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

13311200042406 is a wasteful number, since it uses less digits than its factorization.

13311200042406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71531 (or 71525 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13311200042406 its reverse (60424000211331), we get a palindrome (73735200253737).

The spelling of 13311200042406 in words is "thirteen trillion, three hundred eleven billion, two hundred million, forty-two thousand, four hundred six".