13121123312101 has 64 divisors (see below), whose sum is σ = 16323090094080. Its totient is φ = 10296803462400.

The previous prime is 13121123312047. The next prime is 13121123312123. The reversal of 13121123312101 is 10121332112131.

It is not a de Polignac number, because 13121123312101 - 2²⁵ = 13121089757669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121123312131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 931692406 + ... + 931706488.

It is an arithmetic number, because the mean of its divisors is an integer number (255048282720).

Almost surely, 2^{13121123312101} is an apocalyptic number.

It is an amenable number.

13121123312101 is a deficient number, since it is larger than the sum of its proper divisors (3201966781979).

13121123312101 is a wasteful number, since it uses less digits than its factorization.

13121123312101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15866.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 13121123312101 its reverse (10121332112131), we get a palindrome (23242455424232).

The spelling of 13121123312101 in words is "thirteen trillion, one hundred twenty-one billion, one hundred twenty-three million, three hundred twelve thousand, one hundred one".