3133224223313 has 8 divisors (see below), whose sum is σ = 3273358187880. Its totient is φ = 2995229708800.

The previous prime is 3133224223307. The next prime is 3133224223331.

3133224223313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 646853449984 + 2486370773329 = 804272^2 + 1576823^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3133224223313 - 2⁸ = 3133224223057 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3133224223313.

It is not an unprimeable number, because it can be changed into a prime (3133224228313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 534859520 + ... + 534865377.

It is an arithmetic number, because the mean of its divisors is an integer number (409169773485).

Almost surely, 2^{3133224223313} is an apocalyptic number.

It is an amenable number.

3133224223313 is a deficient number, since it is larger than the sum of its proper divisors (140133964567).

3133224223313 is a wasteful number, since it uses less digits than its factorization.

3133224223313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069725027.

The product of its digits is 46656, while the sum is 32.

The spelling of 3133224223313 in words is "three trillion, one hundred thirty-three billion, two hundred twenty-four million, two hundred twenty-three thousand, three hundred thirteen".