13110314321440 has 48 divisors (see below), whose sum is σ = 35397848670912. Its totient is φ = 4494964909824.

The previous prime is 13110314321413. The next prime is 13110314321443. The reversal of 13110314321440 is 4412341301131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 13110314321399 and 13110314321408.

It is not an unprimeable number, because it can be changed into a prime (13110314321443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5852817774 + ... + 5852820013.

It is an arithmetic number, because the mean of its divisors is an integer number (737455180644).

Almost surely, 2^{13110314321440} is an apocalyptic number.

13110314321440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13110314321440 is an abundant number, since it is smaller than the sum of its proper divisors (22287534349472).

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

13110314321440 is a wasteful number, since it uses less digits than its factorization.

13110314321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11705637809 (or 11705637801 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 13110314321440 its reverse (4412341301131), we get a palindrome (17522655622571).

The spelling of 13110314321440 in words is "thirteen trillion, one hundred ten billion, three hundred fourteen million, three hundred twenty-one thousand, four hundred forty".