20112012133001 has 2 divisors, whose sum is σ = 20112012133002. Its totient is φ = 20112012133000.

The previous prime is 20112012132941. The next prime is 20112012133007. The reversal of 20112012133001 is 10033121021102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13910662090000 + 6201350043001 = 3729700^2 + 2490251^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20112012133001 is a prime.

It is not a weakly prime, because it can be changed into another prime (20112012133007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10056006066500 + 10056006066501.

It is an arithmetic number, because the mean of its divisors is an integer number (10056006066501).

Almost surely, 2^{20112012133001} is an apocalyptic number.

It is an amenable number.

20112012133001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20112012133001 is an equidigital number, since it uses as much as digits as its factorization.

20112012133001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 20112012133001 its reverse (10033121021102), we get a palindrome (30145133154103).

The spelling of 20112012133001 in words is "twenty trillion, one hundred twelve billion, twelve million, one hundred thirty-three thousand, one".