12002001091013 has 2 divisors, whose sum is σ = 12002001091014. Its totient is φ = 12002001091012.

The previous prime is 12002001090971. The next prime is 12002001091019. The reversal of 12002001091013 is 31019010020021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7344441463969 + 4657559627044 = 2710063^2 + 2158138^2 .

It is a cyclic number.

It is not a de Polignac number, because 12002001091013 - 2³⁰ = 12000927349189 is a prime.

It is a super-3 number, since 3×12002001091013³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12002001091019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001000545506 + 6001000545507.

It is an arithmetic number, because the mean of its divisors is an integer number (6001000545507).

Almost surely, 2^{12002001091013} is an apocalyptic number.

It is an amenable number.

12002001091013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002001091013 is an equidigital number, since it uses as much as digits as its factorization.

12002001091013 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 20.

The spelling of 12002001091013 in words is "twelve trillion, two billion, one million, ninety-one thousand, thirteen".