33032032121 has 18 divisors (see below), whose sum is σ = 38569370910. Its totient is φ = 28262671360.

The previous prime is 33032032091. The next prime is 33032032157. The reversal of 33032032121 is 12123023033.

It can be written as a sum of positive squares in 3 ways, for example, as 17785956496 + 15246075625 = 133364^2 + 123475^2 .

It is not a de Polignac number, because 33032032121 - 2³⁰ = 31958290297 is a prime.

It is a super-2 number, since 2×33032032121² (a number of 22 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 = 33032032093 and 33032032102.

It is not an unprimeable number, because it can be changed into a prime (33032035121) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 437336 + ... + 507273.

Almost surely, 2^33032032121 is an apocalyptic number.

It is an amenable number.

33032032121 is a deficient number, since it is larger than the sum of its proper divisors (5537338789).

33032032121 is a wasteful number, since it uses less digits than its factorization.

33032032121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944665 (or 944637 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 33032032121 its reverse (12123023033), we get a palindrome (45155055154).

The spelling of 33032032121 in words is "thirty-three billion, thirty-two million, thirty-two thousand, one hundred twenty-one".