13311133404432 has 160 divisors (see below), whose sum is σ = 35811194186880. Its totient is φ = 4256918016000.

The previous prime is 13311133404427. The next prime is 13311133404449. The reversal of 13311133404432 is 23440433111331.

It is a junction number, because it is equal to n+sod(n) for n = 13311133404393 and 13311133404402.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 717997819 + ... + 718016357.

It is an arithmetic number, because the mean of its divisors is an integer number (223819963668).

Almost surely, 2^{13311133404432} is an apocalyptic number.

13311133404432 is a gapful number since it is divisible by the number (12) 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 13311133404432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17905597093440).

13311133404432 is an abundant number, since it is smaller than the sum of its proper divisors (22500060782448).

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

13311133404432 is a wasteful number, since it uses less digits than its factorization.

13311133404432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24633 (or 24627 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 13311133404432 its reverse (23440433111331), we get a palindrome (36751566515763).

The spelling of 13311133404432 in words is "thirteen trillion, three hundred eleven billion, one hundred thirty-three million, four hundred four thousand, four hundred thirty-two".