12002020131033 has 36 divisors (see below), whose sum is σ = 17431439812020. Its totient is φ = 7957644473856.

The previous prime is 12002020131001. The next prime is 12002020131097. The reversal of 12002020131033 is 33013102020021.

12002020131033 is a `hidden beast` number, since 120 + 0 + 2 + 0 + 201 + 310 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7449886384704 + 4552133746329 = 2729448^2 + 2133573^2 .

It is not a de Polignac number, because 12002020131033 - 2⁵ = 12002020131001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12002020130997 and 12002020131015.

It is not an unprimeable number, because it can be changed into a prime (12002020131733) 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 in 35 ways as a sum of consecutive naturals, for example, 453081253 + ... + 453107741.

It is an arithmetic number, because the mean of its divisors is an integer number (484206661445).

Almost surely, 2^{12002020131033} is an apocalyptic number.

It is an amenable number.

12002020131033 is a deficient number, since it is larger than the sum of its proper divisors (5429419680987).

12002020131033 is an equidigital number, since it uses as much as digits as its factorization.

12002020131033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27926 (or 27696 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12002020131033 its reverse (33013102020021), we get a palindrome (45015122151054).

The spelling of 12002020131033 in words is "twelve trillion, two billion, twenty million, one hundred thirty-one thousand, thirty-three".