13101121021121 has 24 divisors (see below), whose sum is σ = 15952463519616. Its totient is φ = 10537609098240.

The previous prime is 13101121021111. The next prime is 13101121021127. The reversal of 13101121021121 is 12112012110131.

13101121021121 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 13101121021121 - 2³⁴ = 13083941151937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13101121021121.

It is not an unprimeable number, because it can be changed into a prime (13101121021127) 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, 8926685 + ... + 10290186.

It is an arithmetic number, because the mean of its divisors is an integer number (664685979984).

Almost surely, 2^{13101121021121} is an apocalyptic number.

It is an amenable number.

13101121021121 is a deficient number, since it is larger than the sum of its proper divisors (2851342498495).

13101121021121 is a wasteful number, since it uses less digits than its factorization.

13101121021121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19217249 (or 19217232 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 13101121021121 its reverse (12112012110131), we get a palindrome (25213133131252).

The spelling of 13101121021121 in words is "thirteen trillion, one hundred one billion, one hundred twenty-one million, twenty-one thousand, one hundred twenty-one".