13311351378432 has 160 divisors (see below), whose sum is σ = 39411451464000. Its totient is φ = 4436111867904.

The previous prime is 13311351378379. The next prime is 13311351378511. The reversal of 13311351378432 is 23487315311331.

13311351378432 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 135 + 13 + 78 + 432 = 666.

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, 62197944 + ... + 62411592.

It is an arithmetic number, because the mean of its divisors is an integer number (246321571650).

Almost surely, 2^{13311351378432} is an apocalyptic number.

13311351378432 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 13311351378432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19705725732000).

13311351378432 is an abundant number, since it is smaller than the sum of its proper divisors (26100100085568).

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

13311351378432 is an equidigital number, since it uses as much as digits as its factorization.

13311351378432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218183 (or 218161 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

Adding to 13311351378432 its reverse (23487315311331), we get a palindrome (36798666689763).

The spelling of 13311351378432 in words is "thirteen trillion, three hundred eleven billion, three hundred fifty-one million, three hundred seventy-eight thousand, four hundred thirty-two".