13105435410012 has 24 divisors (see below), whose sum is σ = 33359290134912. Its totient is φ = 3971344063600.

The previous prime is 13105435410007. The next prime is 13105435410017. The reversal of 13105435410012 is 21001453450131.

It is an interprime number because it is at equal distance from previous prime (13105435410007) and next prime (13105435410017).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105435410017) 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, 49641800664 + ... + 49641800927.

It is an arithmetic number, because the mean of its divisors is an integer number (1389970422288).

Almost surely, 2^{13105435410012} is an apocalyptic number.

13105435410012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13105435410012 is an abundant number, since it is smaller than the sum of its proper divisors (20253854724900).

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

13105435410012 is a wasteful number, since it uses less digits than its factorization.

13105435410012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99283601609 (or 99283601607 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 13105435410012 its reverse (21001453450131), we get a palindrome (34106888860143).

The spelling of 13105435410012 in words is "thirteen trillion, one hundred five billion, four hundred thirty-five million, four hundred ten thousand, twelve".