120033131333 has 2 divisors, whose sum is σ = 120033131334. Its totient is φ = 120033131332.

The previous prime is 120033131303. The next prime is 120033131347. The reversal of 120033131333 is 333131330021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88823669089 + 31209462244 = 298033^2 + 176662^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-120033131333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120033131299 and 120033131308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120033131303) 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, 60016565666 + 60016565667.

It is an arithmetic number, because the mean of its divisors is an integer number (60016565667).

Almost surely, 2^120033131333 is an apocalyptic number.

It is an amenable number.

120033131333 is a deficient number, since it is larger than the sum of its proper divisors (1).

120033131333 is an equidigital number, since it uses as much as digits as its factorization.

120033131333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 120033131333 its reverse (333131330021), we get a palindrome (453164461354).

The spelling of 120033131333 in words is "one hundred twenty billion, thirty-three million, one hundred thirty-one thousand, three hundred thirty-three".