13110513105040 has 40 divisors (see below), whose sum is σ = 32826707815608. Its totient is φ = 4840804838400.

The previous prime is 13110513105037. The next prime is 13110513105043. The reversal of 13110513105040 is 4050131501131.

It is an interprime number because it is at equal distance from previous prime (13110513105037) and next prime (13110513105043).

It can be written as a sum of positive squares in 4 ways, for example, as 4722988176 + 13105790116864 = 68724^2 + 3620192^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 13110513104996 and 13110513105014.

It is not an unprimeable number, because it can be changed into a prime (13110513105043) 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, 6303130261 + ... + 6303132340.

Almost surely, 2^{13110513105040} is an apocalyptic number.

13110513105040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13110513105040 is an abundant number, since it is smaller than the sum of its proper divisors (19716194710568).

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

13110513105040 is a wasteful number, since it uses less digits than its factorization.

13110513105040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12606262627 (or 12606262621 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 13110513105040 its reverse (4050131501131), we get a palindrome (17160644606171).

The spelling of 13110513105040 in words is "thirteen trillion, one hundred ten billion, five hundred thirteen million, one hundred five thousand, forty".