13110111210440 has 128 divisors (see below), whose sum is σ = 31710683520000. Its totient is φ = 4866998707200.

The previous prime is 13110111210319. The next prime is 13110111210509. The reversal of 13110111210440 is 4401211101131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4134635 + ... + 6581445.

It is an arithmetic number, because the mean of its divisors is an integer number (247739715000).

Almost surely, 2^{13110111210440} is an apocalyptic number.

13110111210440 is a gapful number since it is divisible by the number (10) 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 13110111210440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15855341760000).

13110111210440 is an abundant number, since it is smaller than the sum of its proper divisors (18600572309560).

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

13110111210440 is a wasteful number, since it uses less digits than its factorization.

13110111210440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447031 (or 2447027 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 13110111210440 its reverse (4401211101131), we get a palindrome (17511322311571).

The spelling of 13110111210440 in words is "thirteen trillion, one hundred ten billion, one hundred eleven million, two hundred ten thousand, four hundred forty".