13105435013133 has 24 divisors (see below), whose sum is σ = 19202331734880. Its totient is φ = 7939465685760.

The previous prime is 13105435013101. The next prime is 13105435013141. The reversal of 13105435013133 is 33131053450131.

13105435013133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13105435013133 - 2⁵ = 13105435013101 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13105435013094 and 13105435013103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105435013173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260592823 + ... + 260643108.

It is an arithmetic number, because the mean of its divisors is an integer number (800097155620).

Almost surely, 2^{13105435013133} is an apocalyptic number.

It is an amenable number.

13105435013133 is a deficient number, since it is larger than the sum of its proper divisors (6096896721747).

13105435013133 is a wasteful number, since it uses less digits than its factorization.

13105435013133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521235997 (or 521235980 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 33.

Adding to 13105435013133 its reverse (33131053450131), we get a palindrome (46236488463264).

The spelling of 13105435013133 in words is "thirteen trillion, one hundred five billion, four hundred thirty-five million, thirteen thousand, one hundred thirty-three".