12003121310113 has 2 divisors, whose sum is σ = 12003121310114. Its totient is φ = 12003121310112.

The previous prime is 12003121310069. The next prime is 12003121310137. The reversal of 12003121310113 is 31101312130021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8808923088289 + 3194198221824 = 2967983^2 + 1787232^2 .

It is a cyclic number.

It is not a de Polignac number, because 12003121310113 - 2²¹ = 12003119212961 is a prime.

It is not a weakly prime, because it can be changed into another prime (12003121310413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001560655056 + 6001560655057.

It is an arithmetic number, because the mean of its divisors is an integer number (6001560655057).

Almost surely, 2^{12003121310113} is an apocalyptic number.

It is an amenable number.

12003121310113 is a deficient number, since it is larger than the sum of its proper divisors (1).

12003121310113 is an equidigital number, since it uses as much as digits as its factorization.

12003121310113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 12003121310113 its reverse (31101312130021), we get a palindrome (43104433440134).

The spelling of 12003121310113 in words is "twelve trillion, three billion, one hundred twenty-one million, three hundred ten thousand, one hundred thirteen".