13110135013101 has 32 divisors (see below), whose sum is σ = 19993185773568. Its totient is φ = 7485568009920.

The previous prime is 13110135013051. The next prime is 13110135013117. The reversal of 13110135013101 is 10131053101131.

It is not a de Polignac number, because 13110135013101 - 2¹⁷ = 13110134882029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13110135013181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335733160 + ... + 335772206.

It is an arithmetic number, because the mean of its divisors is an integer number (624787055424).

Almost surely, 2^{13110135013101} is an apocalyptic number.

It is an amenable number.

13110135013101 is a deficient number, since it is larger than the sum of its proper divisors (6883050760467).

13110135013101 is a wasteful number, since it uses less digits than its factorization.

13110135013101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51321.

The product of its (nonzero) digits is 135, while the sum is 21.

Adding to 13110135013101 its reverse (10131053101131), we get a palindrome (23241188114232).

The spelling of 13110135013101 in words is "thirteen trillion, one hundred ten billion, one hundred thirty-five million, thirteen thousand, one hundred one".