33122113121 has 12 divisors (see below), whose sum is σ = 34135567596. Its totient is φ = 32132574720.

The previous prime is 33122113103. The next prime is 33122113133. The reversal of 33122113121 is 12131122133.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 16163562496 + 16958550625 = 127136^2 + 130225^2 .

It is not a de Polignac number, because 33122113121 - 2¹⁰ = 33122112097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33122113093 and 33122113102.

It is not an unprimeable number, because it can be changed into a prime (33122113181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210665 + ... + 332601.

It is an arithmetic number, because the mean of its divisors is an integer number (2844630633).

Almost surely, 2^33122113121 is an apocalyptic number.

It is an amenable number.

33122113121 is a deficient number, since it is larger than the sum of its proper divisors (1013454475).

33122113121 is an equidigital number, since it uses as much as digits as its factorization.

33122113121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122132 (or 122071 counting only the distinct ones).

The product of its digits is 216, while the sum is 20.

Adding to 33122113121 its reverse (12131122133), we get a palindrome (45253235254).

The spelling of 33122113121 in words is "thirty-three billion, one hundred twenty-two million, one hundred thirteen thousand, one hundred twenty-one".