333131020133 has 2 divisors, whose sum is σ = 333131020134. Its totient is φ = 333131020132.

The previous prime is 333131020121. The next prime is 333131020139. The reversal of 333131020133 is 331020131333.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 319697514724 + 13433505409 = 565418^2 + 115903^2 .

It is an emirp because it is prime and its reverse (331020131333) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 333131020133 - 2⁸ = 333131019877 is a prime.

It is a super-2 number, since 2×333131020133² (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 333131020099 and 333131020108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (333131020139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166565510066 + 166565510067.

It is an arithmetic number, because the mean of its divisors is an integer number (166565510067).

Almost surely, 2^333131020133 is an apocalyptic number.

It is an amenable number.

333131020133 is a deficient number, since it is larger than the sum of its proper divisors (1).

333131020133 is an equidigital number, since it uses as much as digits as its factorization.

333131020133 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 333131020133 its reverse (331020131333), we get a palindrome (664151151466).

The spelling of 333131020133 in words is "three hundred thirty-three billion, one hundred thirty-one million, twenty thousand, one hundred thirty-three".