33131131121 has 12 divisors (see below), whose sum is σ = 36421312116. Its totient is φ = 30115530720.

The previous prime is 33131131109. The next prime is 33131131127. The reversal of 33131131121 is 12113113133.

It can be written as a sum of positive squares in 2 ways, for example, as 447914896 + 32683216225 = 21164^2 + 180785^2 .

It is not a de Polignac number, because 33131131121 - 2³⁰ = 32057389297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33131131093 and 33131131102.

It is not an unprimeable number, because it can be changed into a prime (33131131127) 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, 1719875 + ... + 1739031.

It is an arithmetic number, because the mean of its divisors is an integer number (3035109343).

Almost surely, 2^33131131121 is an apocalyptic number.

It is an amenable number.

33131131121 is a deficient number, since it is larger than the sum of its proper divisors (3290180995).

33131131121 is a wasteful number, since it uses less digits than its factorization.

33131131121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33472 (or 33461 counting only the distinct ones).

The product of its digits is 162, while the sum is 20.

Adding to 33131131121 its reverse (12113113133), we get a palindrome (45244244254).

The spelling of 33131131121 in words is "thirty-three billion, one hundred thirty-one million, one hundred thirty-one thousand, one hundred twenty-one".