122331010122033 has 16 divisors (see below), whose sum is σ = 163167383164800. Its totient is φ = 81524326740480.

The previous prime is 122331010121981. The next prime is 122331010122049. The reversal of 122331010122033 is 330221010133221.

It is not a de Polignac number, because 122331010122033 - 2³⁰ = 122329936380209 is a prime.

It is a super-3 number, since 3×122331010122033³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122331010121994 and 122331010122012.

It is not an unprimeable number, because it can be changed into a prime (122331010122833) 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, 101830948 + ... + 103025258.

It is an arithmetic number, because the mean of its divisors is an integer number (10197961447800).

Almost surely, 2^{122331010122033} is an apocalyptic number.

It is an amenable number.

122331010122033 is a deficient number, since it is larger than the sum of its proper divisors (40836373042767).

122331010122033 is a wasteful number, since it uses less digits than its factorization.

122331010122033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206712.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 122331010122033 its reverse (330221010133221), we get a palindrome (452552020255254).

The spelling of 122331010122033 in words is "one hundred twenty-two trillion, three hundred thirty-one billion, ten million, one hundred twenty-two thousand, thirty-three".