12131010213101 has 8 divisors (see below), whose sum is σ = 13065911262264. Its totient is φ = 11196358652160.

The previous prime is 12131010213097. The next prime is 12131010213143. The reversal of 12131010213101 is 10131201013121.

It can be written as a sum of positive squares in 4 ways, for example, as 3119762701225 + 9011247511876 = 1766285^2 + 3001874^2 .

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 12131010213101 - 2² = 12131010213097 is a prime.

It is a super-2 number, since 2×12131010213101² (a number of 27 digits) contains 22 as substring.

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 12131010213101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131010213401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62271056 + ... + 62465561.

It is an arithmetic number, because the mean of its divisors is an integer number (1633238907783).

Almost surely, 2^{12131010213101} is an apocalyptic number.

It is an amenable number.

12131010213101 is a deficient number, since it is larger than the sum of its proper divisors (934901049163).

12131010213101 is a wasteful number, since it uses less digits than its factorization.

12131010213101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124744111.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 12131010213101 its reverse (10131201013121), we get a palindrome (22262211226222).

The spelling of 12131010213101 in words is "twelve trillion, one hundred thirty-one billion, ten million, two hundred thirteen thousand, one hundred one".