12002100312113 has 2 divisors, whose sum is σ = 12002100312114. Its totient is φ = 12002100312112.

The previous prime is 12002100312089. The next prime is 12002100312131. The reversal of 12002100312113 is 31121300120021.

Together with next prime (12002100312131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8421766512784 + 3580333799329 = 2902028^2 + 1892177^2 .

It is a cyclic number.

It is not a de Polignac number, because 12002100312113 - 2²⁴ = 12002083534897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12002100312091 and 12002100312100.

It is not a weakly prime, because it can be changed into another prime (12002100312193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001050156056 + 6001050156057.

It is an arithmetic number, because the mean of its divisors is an integer number (6001050156057).

Almost surely, 2^{12002100312113} is an apocalyptic number.

It is an amenable number.

12002100312113 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002100312113 is an equidigital number, since it uses as much as digits as its factorization.

12002100312113 is an evil number, because the sum of its binary digits is even.

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

Adding to 12002100312113 its reverse (31121300120021), we get a palindrome (43123400432134).

The spelling of 12002100312113 in words is "twelve trillion, two billion, one hundred million, three hundred twelve thousand, one hundred thirteen".