3313131322041 has 64 divisors (see below), whose sum is σ = 5178003667200. Its totient is φ = 2087921152512.

The previous prime is 3313131322019. The next prime is 3313131322139. The reversal of 3313131322041 is 1402231313133.

3313131322041 is a `hidden beast` number, since 3 + 313 + 13 + 132 + 204 + 1 = 666.

3313131322041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3313131322041 - 2⁶ = 3313131321977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3313131321996 and 3313131322014.

It is not an unprimeable number, because it can be changed into a prime (3313131322001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 801626611 + ... + 801630743.

It is an arithmetic number, because the mean of its divisors is an integer number (80906307300).

Almost surely, 2^{3313131322041} is an apocalyptic number.

It is an amenable number.

3313131322041 is a deficient number, since it is larger than the sum of its proper divisors (1864872345159).

3313131322041 is a wasteful number, since it uses less digits than its factorization.

3313131322041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7207 (or 7201 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 3313131322041 its reverse (1402231313133), we get a palindrome (4715362635174).

The spelling of 3313131322041 in words is "three trillion, three hundred thirteen billion, one hundred thirty-one million, three hundred twenty-two thousand, forty-one".