20013133133333 has 2 divisors, whose sum is σ = 20013133133334. Its totient is φ = 20013133133332.

The previous prime is 20013133133317. The next prime is 20013133133351. The reversal of 20013133133333 is 33333133131002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16307438833009 + 3705694300324 = 4038247^2 + 1925018^2 .

It is a cyclic number.

It is not a de Polignac number, because 20013133133333 - 2⁴ = 20013133133317 is a prime.

It is a super-3 number, since 3×20013133133333³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 20013133133296 and 20013133133305.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20013133133533) 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, 10006566566666 + 10006566566667.

It is an arithmetic number, because the mean of its divisors is an integer number (10006566566667).

Almost surely, 2^{20013133133333} is an apocalyptic number.

It is an amenable number.

20013133133333 is a deficient number, since it is larger than the sum of its proper divisors (1).

20013133133333 is an equidigital number, since it uses as much as digits as its factorization.

20013133133333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13122, while the sum is 29.

Adding to 20013133133333 its reverse (33333133131002), we get a palindrome (53346266264335).

The spelling of 20013133133333 in words is "twenty trillion, thirteen billion, one hundred thirty-three million, one hundred thirty-three thousand, three hundred thirty-three".