13122311354432 has 112 divisors (see below), whose sum is σ = 30780601270272. Its totient is φ = 5431610442240.

The previous prime is 13122311354431. The next prime is 13122311354443. The reversal of 13122311354432 is 23445311322131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 13122311354392 and 13122311354401.

It is not an unprimeable number, because it can be changed into a prime (13122311354431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6046433 + ... + 7924895.

It is an arithmetic number, because the mean of its divisors is an integer number (274826797056).

Almost surely, 2^{13122311354432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13122311354432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15390300635136).

13122311354432 is an abundant number, since it is smaller than the sum of its proper divisors (17658289915840).

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

13122311354432 is a wasteful number, since it uses less digits than its factorization.

13122311354432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879016 (or 1879006 counting only the distinct ones).

The product of its digits is 51840, while the sum is 35.

Adding to 13122311354432 its reverse (23445311322131), we get a palindrome (36567622676563).

The spelling of 13122311354432 in words is "thirteen trillion, one hundred twenty-two billion, three hundred eleven million, three hundred fifty-four thousand, four hundred thirty-two".