13535323111101 has 16 divisors (see below), whose sum is σ = 19687873584960. Its totient is φ = 8203171595520.

The previous prime is 13535323111069. The next prime is 13535323111129. The reversal of 13535323111101 is 10111132353531.

13535323111101 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 13535323111101 - 2⁵ = 13535323111069 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13535323111171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3989755 + ... + 6556583.

It is an arithmetic number, because the mean of its divisors is an integer number (1230492099060).

Almost surely, 2^{13535323111101} is an apocalyptic number.

13535323111101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13535323111101 is a deficient number, since it is larger than the sum of its proper divisors (6152550473859).

13535323111101 is a wasteful number, since it uses less digits than its factorization.

13535323111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726636.

The product of its (nonzero) digits is 4050, while the sum is 30.

Adding to 13535323111101 its reverse (10111132353531), we get a palindrome (23646455464632).

The spelling of 13535323111101 in words is "thirteen trillion, five hundred thirty-five billion, three hundred twenty-three million, one hundred eleven thousand, one hundred one".