3300313224213 has 64 divisors (see below), whose sum is σ = 5047781840640. Its totient is φ = 2129771750400.

The previous prime is 3300313224193. The next prime is 3300313224253. The reversal of 3300313224213 is 3124223130033.

3300313224213 is a `hidden beast` number, since 3 + 300 + 31 + 322 + 4 + 2 + 1 + 3 = 666.

It is not a de Polignac number, because 3300313224213 - 2¹⁷ = 3300313093141 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3300313224253) 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, 374138343 + ... + 374147163.

It is an arithmetic number, because the mean of its divisors is an integer number (78871591260).

Almost surely, 2^{3300313224213} is an apocalyptic number.

It is an amenable number.

3300313224213 is a deficient number, since it is larger than the sum of its proper divisors (1747468616427).

3300313224213 is a wasteful number, since it uses less digits than its factorization.

3300313224213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11475 (or 11469 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 3300313224213 its reverse (3124223130033), we get a palindrome (6424536354246).

The spelling of 3300313224213 in words is "three trillion, three hundred billion, three hundred thirteen million, two hundred twenty-four thousand, two hundred thirteen".