12131322101 has 8 divisors (see below), whose sum is σ = 13067119104. Its totient is φ = 11229554160.

The previous prime is 12131322059. The next prime is 12131322109. The reversal of 12131322101 is 10122313121.

12131322101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12131322101 - 2¹⁴ = 12131305717 is a prime.

It is a super-3 number, since 3×12131322101³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 12131322101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131322109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8506526 + ... + 8507951.

It is an arithmetic number, because the mean of its divisors is an integer number (1633389888).

Almost surely, 2^12131322101 is an apocalyptic number.

It is an amenable number.

12131322101 is a deficient number, since it is larger than the sum of its proper divisors (935797003).

12131322101 is a wasteful number, since it uses less digits than its factorization.

12131322101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17014531.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12131322101 its reverse (10122313121), we get a palindrome (22253635222).

The spelling of 12131322101 in words is "twelve billion, one hundred thirty-one million, three hundred twenty-two thousand, one hundred one".