13101042441040 has 40 divisors (see below), whose sum is σ = 30460116898728. Its totient is φ = 5240383733760.

The previous prime is 13101042441037. The next prime is 13101042441169. The reversal of 13101042441040 is 4014424010131.

It can be written as a sum of positive squares in 4 ways, for example, as 601536745744 + 12499505695296 = 775588^2 + 3535464^2 .

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 = 13101042440996 and 13101042441014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15080920 + ... + 15925960.

Almost surely, 2^{13101042441040} is an apocalyptic number.

13101042441040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13101042441040 is an abundant number, since it is smaller than the sum of its proper divisors (17359074457688).

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

13101042441040 is a wasteful number, since it uses less digits than its factorization.

13101042441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038847 (or 1038841 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 13101042441040 its reverse (4014424010131), we get a palindrome (17115466451171).

The spelling of 13101042441040 in words is "thirteen trillion, one hundred one billion, forty-two million, four hundred forty-one thousand, forty".