12001031133041 has 2 divisors, whose sum is σ = 12001031133042. Its totient is φ = 12001031133040.

The previous prime is 12001031132963. The next prime is 12001031133067. The reversal of 12001031133041 is 14033113010021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11594733250816 + 406297882225 = 3405104^2 + 637415^2 .

It is a cyclic number.

It is not a de Polignac number, because 12001031133041 - 2²² = 12001026938737 is a prime.

It is not a weakly prime, because it can be changed into another prime (12001031130041) 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 as a sum of consecutive naturals, namely, 6000515566520 + 6000515566521.

It is an arithmetic number, because the mean of its divisors is an integer number (6000515566521).

Almost surely, 2^{12001031133041} is an apocalyptic number.

It is an amenable number.

12001031133041 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001031133041 is an equidigital number, since it uses as much as digits as its factorization.

12001031133041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12001031133041 its reverse (14033113010021), we get a palindrome (26034144143062).

The spelling of 12001031133041 in words is "twelve trillion, one billion, thirty-one million, one hundred thirty-three thousand, forty-one".