13121013121101 has 24 divisors (see below), whose sum is σ = 19140555747456. Its totient is φ = 8660584514400.

The previous prime is 13121013121081. The next prime is 13121013121103. The reversal of 13121013121101 is 10112131012131.

13121013121101 is a `hidden beast` number, since 1 + 31 + 210 + 1 + 312 + 110 + 1 = 666.

It is not a de Polignac number, because 13121013121101 - 2⁶ = 13121013121037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121013121103) 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, 81750736 + ... + 81911078.

It is an arithmetic number, because the mean of its divisors is an integer number (797523156144).

Almost surely, 2^{13121013121101} is an apocalyptic number.

It is an amenable number.

13121013121101 is a deficient number, since it is larger than the sum of its proper divisors (6019542626355).

13121013121101 is a wasteful number, since it uses less digits than its factorization.

13121013121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250473 (or 250470 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 13121013121101 its reverse (10112131012131), we get a palindrome (23233144133232).

The spelling of 13121013121101 in words is "thirteen trillion, one hundred twenty-one billion, thirteen million, one hundred twenty-one thousand, one hundred one".