133120321 has 2 divisors, whose sum is σ = 133120322. Its totient is φ = 133120320.

The previous prime is 133120301. The next prime is 133120333. The reversal of 133120321 is 123021331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90935296 + 42185025 = 9536^2 + 6495^2 .

It is an emirp because it is prime and its reverse (123021331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133120321 - 2¹⁵ = 133087553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133120295 and 133120304.

It is not a weakly prime, because it can be changed into another prime (133120301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66560160 + 66560161.

It is an arithmetic number, because the mean of its divisors is an integer number (66560161).

Almost surely, 2^133120321 is an apocalyptic number.

It is an amenable number.

133120321 is a deficient number, since it is larger than the sum of its proper divisors (1).

133120321 is an equidigital number, since it uses as much as digits as its factorization.

133120321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 133120321 is about 11537.7779923172. Note that the first 3 decimals coincide. The cubic root of 133120321 is about 510.6007543219.

Adding to 133120321 its reverse (123021331), we get a palindrome (256141652).

The spelling of 133120321 in words is "one hundred thirty-three million, one hundred twenty thousand, three hundred twenty-one".