22533435400013 has 2 divisors, whose sum is σ = 22533435400014. Its totient is φ = 22533435400012.

The previous prime is 22533435399973. The next prime is 22533435400033. The reversal of 22533435400013 is 31000453433522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22220268690244 + 313166709769 = 4713838^2 + 559613^2 .

It is a cyclic number.

It is not a de Polignac number, because 22533435400013 - 2¹⁰ = 22533435398989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22533435400033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11266717700006 + 11266717700007.

It is an arithmetic number, because the mean of its divisors is an integer number (11266717700007).

Almost surely, 2^{22533435400013} is an apocalyptic number.

It is an amenable number.

22533435400013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22533435400013 is an equidigital number, since it uses as much as digits as its factorization.

22533435400013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129600, while the sum is 35.

Adding to 22533435400013 its reverse (31000453433522), we get a palindrome (53533888833535).

The spelling of 22533435400013 in words is "twenty-two trillion, five hundred thirty-three billion, four hundred thirty-five million, four hundred thousand, thirteen".