133212122401 has 2 divisors, whose sum is σ = 133212122402. Its totient is φ = 133212122400.

The previous prime is 133212122299. The next prime is 133212122423. The reversal of 133212122401 is 104221212331.

It is an a-pointer prime, because the next prime (133212122423) can be obtained adding 133212122401 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80541872401 + 52670250000 = 283799^2 + 229500^2 .

It is a cyclic number.

It is not a de Polignac number, because 133212122401 - 2¹⁷ = 133211991329 is a prime.

It is a super-4 number, since 4×133212122401⁴ (a number of 46 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (133212122101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66606061200 + 66606061201.

It is an arithmetic number, because the mean of its divisors is an integer number (66606061201).

Almost surely, 2^133212122401 is an apocalyptic number.

It is an amenable number.

133212122401 is a deficient number, since it is larger than the sum of its proper divisors (1).

133212122401 is an equidigital number, since it uses as much as digits as its factorization.

133212122401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 133212122401 its reverse (104221212331), we get a palindrome (237433334732).

The spelling of 133212122401 in words is "one hundred thirty-three billion, two hundred twelve million, one hundred twenty-two thousand, four hundred one".