13105330042440 has 128 divisors (see below), whose sum is σ = 41883870873600. Its totient is φ = 3270930773760.

The previous prime is 13105330042439. The next prime is 13105330042447. The reversal of 13105330042440 is 4424003350131.

13105330042440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13105330042398 and 13105330042407.

It is not an unprimeable number, because it can be changed into a prime (13105330042447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34436976 + ... + 34815455.

It is an arithmetic number, because the mean of its divisors is an integer number (327217741200).

Almost surely, 2^{13105330042440} is an apocalyptic number.

13105330042440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13105330042440 is an abundant number, since it is smaller than the sum of its proper divisors (28778540831160).

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

13105330042440 is a wasteful number, since it uses less digits than its factorization.

13105330042440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69252547 (or 69252543 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 13105330042440 its reverse (4424003350131), we get a palindrome (17529333392571).

The spelling of 13105330042440 in words is "thirteen trillion, one hundred five billion, three hundred thirty million, forty-two thousand, four hundred forty".