13321131121101 has 32 divisors (see below), whose sum is σ = 17854338078720. Its totient is φ = 8834488534656.

The previous prime is 13321131121099. The next prime is 13321131121121. The reversal of 13321131121101 is 10112113112331.

13321131121101 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 13321131121101 - 2¹ = 13321131121099 is a prime.

It is a super-3 number, since 3×13321131121101³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321131121121) 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, 742570390 + ... + 742588328.

It is an arithmetic number, because the mean of its divisors is an integer number (557948064960).

Almost surely, 2^{13321131121101} is an apocalyptic number.

It is an amenable number.

13321131121101 is a deficient number, since it is larger than the sum of its proper divisors (4533206957619).

13321131121101 is a wasteful number, since it uses less digits than its factorization.

13321131121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19953.

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 13321131121101 its reverse (10112113112331), we get a palindrome (23433244233432).

The spelling of 13321131121101 in words is "thirteen trillion, three hundred twenty-one billion, one hundred thirty-one million, one hundred twenty-one thousand, one hundred one".