133322012032033 has 16 divisors (see below), whose sum is σ = 149432134662720. Its totient is φ = 117919235404800.

The previous prime is 133322012031979. The next prime is 133322012032057. The reversal of 133322012032033 is 330230210223331.

It is a cyclic number.

It is not a de Polignac number, because 133322012032033 - 2³⁷ = 133184573078561 is a prime.

It is a super-2 number, since 2×133322012032033² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133322012031992 and 133322012032010.

It is not an unprimeable number, because it can be changed into a prime (133322012036033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1058838228 + ... + 1058964133.

It is an arithmetic number, because the mean of its divisors is an integer number (9339508416420).

Almost surely, 2^{133322012032033} is an apocalyptic number.

It is an amenable number.

133322012032033 is a deficient number, since it is larger than the sum of its proper divisors (16110122630687).

133322012032033 is a wasteful number, since it uses less digits than its factorization.

133322012032033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117802528.

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 133322012032033 its reverse (330230210223331), we get a palindrome (463552222255364).

The spelling of 133322012032033 in words is "one hundred thirty-three trillion, three hundred twenty-two billion, twelve million, thirty-two thousand, thirty-three".