33132121121 has 32 divisors (see below), whose sum is σ = 37541750400. Its totient is φ = 28975795200.

The previous prime is 33132121111. The next prime is 33132121177. The reversal of 33132121121 is 12112123133.

It is a happy number.

It is not a de Polignac number, because 33132121121 - 2¹⁴ = 33132104737 is a prime.

It is a super-2 number, since 2×33132121121² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33132121093 and 33132121102.

It is not an unprimeable number, because it can be changed into a prime (33132121111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14613830 + ... + 14616096.

It is an arithmetic number, because the mean of its divisors is an integer number (1173179700).

Almost surely, 2^33132121121 is an apocalyptic number.

It is an amenable number.

33132121121 is a deficient number, since it is larger than the sum of its proper divisors (4409629279).

33132121121 is a wasteful number, since it uses less digits than its factorization.

33132121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705.

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

Adding to 33132121121 its reverse (12112123133), we get a palindrome (45244244254).

The spelling of 33132121121 in words is "thirty-three billion, one hundred thirty-two million, one hundred twenty-one thousand, one hundred twenty-one".