12003434413193 has 2 divisors, whose sum is σ = 12003434413194. Its totient is φ = 12003434413192.

The previous prime is 12003434413081. The next prime is 12003434413283. The reversal of 12003434413193 is 39131443430021.

12003434413193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11909656375369 + 93778037824 = 3451037^2 + 306232^2 .

It is a cyclic number.

It is not a de Polignac number, because 12003434413193 - 2²⁰ = 12003433364617 is a prime.

It is a super-3 number, since 3×12003434413193³ (a number of 40 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (12003434413393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001717206596 + 6001717206597.

It is an arithmetic number, because the mean of its divisors is an integer number (6001717206597).

Almost surely, 2^{12003434413193} is an apocalyptic number.

It is an amenable number.

12003434413193 is a deficient number, since it is larger than the sum of its proper divisors (1).

12003434413193 is an equidigital number, since it uses as much as digits as its factorization.

12003434413193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 93312, while the sum is 38.

The spelling of 12003434413193 in words is "twelve trillion, three billion, four hundred thirty-four million, four hundred thirteen thousand, one hundred ninety-three".