3133214123313 has 16 divisors (see below), whose sum is σ = 4262476087296. Its totient is φ = 2046807206400.

The previous prime is 3133214123311. The next prime is 3133214123353.

It is a happy number.

3133214123313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3133214123313 - 2¹ = 3133214123311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3133214123311) 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 15 ways as a sum of consecutive naturals, for example, 53272881 + ... + 53331662.

It is an arithmetic number, because the mean of its divisors is an integer number (266404755456).

Almost surely, 2^{3133214123313} is an apocalyptic number.

It is an amenable number.

3133214123313 is a deficient number, since it is larger than the sum of its proper divisors (1129261963983).

3133214123313 is a wasteful number, since it uses less digits than its factorization.

3133214123313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106604744.

The product of its digits is 11664, while the sum is 30.

The spelling of 3133214123313 in words is "three trillion, one hundred thirty-three billion, two hundred fourteen million, one hundred twenty-three thousand, three hundred thirteen".