2213313311313 has 48 divisors (see below), whose sum is σ = 3464603985024. Its totient is φ = 1353488705280.

The previous prime is 2213313311309. The next prime is 2213313311329. The reversal of 2213313311313 is 3131133133122.

2213313311313 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 31 + 3 + 311 + 313 = 666.

It is not a de Polignac number, because 2213313311313 - 2² = 2213313311309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2213313311393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13631578 + ... + 13792988.

It is an arithmetic number, because the mean of its divisors is an integer number (72179249688).

Almost surely, 2^{2213313311313} is an apocalyptic number.

It is an amenable number.

2213313311313 is a deficient number, since it is larger than the sum of its proper divisors (1251290673711).

2213313311313 is a wasteful number, since it uses less digits than its factorization.

2213313311313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162166 (or 162163 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

Adding to 2213313311313 its reverse (3131133133122), we get a palindrome (5344446444435).

The spelling of 2213313311313 in words is "two trillion, two hundred thirteen billion, three hundred thirteen million, three hundred eleven thousand, three hundred thirteen".