122133320310033 has 16 divisors (see below), whose sum is σ = 183904453171200. Its totient is φ = 80087423153040.

The previous prime is 122133320310013. The next prime is 122133320310059. The reversal of 122133320310033 is 330013023331221.

122133320310033 is a `hidden beast` number, since 1 + 2 + 2 + 13 + 332 + 0 + 310 + 0 + 3 + 3 = 666.

It is not a de Polignac number, because 122133320310033 - 2⁹ = 122133320309521 is a prime.

It is a super-2 number, since 2×122133320310033² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 122133320309979 and 122133320310006.

It is not an unprimeable number, because it can be changed into a prime (122133320310013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37077509073 + ... + 37077512366.

It is an arithmetic number, because the mean of its divisors is an integer number (11494028323200).

Almost surely, 2^{122133320310033} is an apocalyptic number.

It is an amenable number.

122133320310033 is a deficient number, since it is larger than the sum of its proper divisors (61771132861167).

122133320310033 is an equidigital number, since it uses as much as digits as its factorization.

122133320310033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74155021509 (or 74155021503 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 122133320310033 its reverse (330013023331221), we get a palindrome (452146343641254).

The spelling of 122133320310033 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, three hundred twenty million, three hundred ten thousand, thirty-three".