3121104033 has 24 divisors (see below), whose sum is σ = 4666657320. Its totient is φ = 2007720960.

The previous prime is 3121104011. The next prime is 3121104047. The reversal of 3121104033 is 3304011213.

It can be written as a sum of positive squares in 4 ways, for example, as 1470875904 + 1650228129 = 38352^2 + 40623^2 .

It is not a de Polignac number, because 3121104033 - 2²⁴ = 3104326817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3121103997 and 3121104015.

It is not an unprimeable number, because it can be changed into a prime (3121104053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 590623 + ... + 595883.

It is an arithmetic number, because the mean of its divisors is an integer number (194444055).

Almost surely, 2^3121104033 is an apocalyptic number.

It is an amenable number.

3121104033 is a deficient number, since it is larger than the sum of its proper divisors (1545553287).

3121104033 is a wasteful number, since it uses less digits than its factorization.

3121104033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7569 (or 7566 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3121104033 is about 55866.8419816263. The cubic root of 3121104033 is about 1461.4010496922.

Adding to 3121104033 its reverse (3304011213), we get a palindrome (6425115246).

The spelling of 3121104033 in words is "three billion, one hundred twenty-one million, one hundred four thousand, thirty-three".