42033120323321 has 2 divisors, whose sum is σ = 42033120323322. Its totient is φ = 42033120323320.

The previous prime is 42033120323291. The next prime is 42033120323339. The reversal of 42033120323321 is 12332302133024.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36137062210921 + 5896058112400 = 6011411^2 + 2428180^2 .

It is a cyclic number.

It is not a de Polignac number, because 42033120323321 - 2¹⁴ = 42033120306937 is a prime.

It is a super-2 number, since 2×42033120323321² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (42033120323351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21016560161660 + 21016560161661.

It is an arithmetic number, because the mean of its divisors is an integer number (21016560161661).

Almost surely, 2^{42033120323321} is an apocalyptic number.

It is an amenable number.

42033120323321 is a deficient number, since it is larger than the sum of its proper divisors (1).

42033120323321 is an equidigital number, since it uses as much as digits as its factorization.

42033120323321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 42033120323321 its reverse (12332302133024), we get a palindrome (54365422456345).

The spelling of 42033120323321 in words is "forty-two trillion, thirty-three billion, one hundred twenty million, three hundred twenty-three thousand, three hundred twenty-one".