13331103410440 has 32 divisors (see below), whose sum is σ = 29997059895000. Its totient is φ = 5332072080384.

The previous prime is 13331103410437. The next prime is 13331103410467. The reversal of 13331103410440 is 4401430113331.

It can be written as a sum of positive squares in 4 ways, for example, as 13331071578276 + 31832164 = 3651174^2 + 5642^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13331103410399 and 13331103410408.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10954935 + ... + 12110854.

Almost surely, 2^{13331103410440} is an apocalyptic number.

13331103410440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13331103410440 is an abundant number, since it is smaller than the sum of its proper divisors (16665956484560).

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

13331103410440 is a wasteful number, since it uses less digits than its factorization.

13331103410440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23080249 (or 23080245 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 13331103410440 its reverse (4401430113331), we get a palindrome (17732533523771).

The spelling of 13331103410440 in words is "thirteen trillion, three hundred thirty-one billion, one hundred three million, four hundred ten thousand, four hundred forty".