13022032133333 has 2 divisors, whose sum is σ = 13022032133334. Its totient is φ = 13022032133332.

The previous prime is 13022032133329. The next prime is 13022032133353. The reversal of 13022032133333 is 33333123022031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8362750152964 + 4659281980369 = 2891842^2 + 2158537^2 .

It is a cyclic number.

It is not a de Polignac number, because 13022032133333 - 2² = 13022032133329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13022032133296 and 13022032133305.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13022032133353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6511016066666 + 6511016066667.

It is an arithmetic number, because the mean of its divisors is an integer number (6511016066667).

Almost surely, 2^{13022032133333} is an apocalyptic number.

It is an amenable number.

13022032133333 is a deficient number, since it is larger than the sum of its proper divisors (1).

13022032133333 is an equidigital number, since it uses as much as digits as its factorization.

13022032133333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 29.

Adding to 13022032133333 its reverse (33333123022031), we get a palindrome (46355155155364).

The spelling of 13022032133333 in words is "thirteen trillion, twenty-two billion, thirty-two million, one hundred thirty-three thousand, three hundred thirty-three".