4013330313213 has 12 divisors (see below), whose sum is σ = 6242958265180. Its totient is φ = 2469741731136.

The previous prime is 4013330313211. The next prime is 4013330313271. The reversal of 4013330313213 is 3123130333104.

4013330313213 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 330 + 3 + 1 + 321 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1453755895524 + 2559574417689 = 1205718^2 + 1599867^2 .

It is not a de Polignac number, because 4013330313213 - 2¹ = 4013330313211 is a prime.

It is a super-2 number, since 2×4013330313213² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013330313211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17150984128 + ... + 17150984361.

Almost surely, 2^{4013330313213} is an apocalyptic number.

It is an amenable number.

4013330313213 is a deficient number, since it is larger than the sum of its proper divisors (2229627951967).

4013330313213 is a wasteful number, since it uses less digits than its factorization.

4013330313213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34301968508 (or 34301968505 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 4013330313213 its reverse (3123130333104), we get a palindrome (7136460646317).

The spelling of 4013330313213 in words is "four trillion, thirteen billion, three hundred thirty million, three hundred thirteen thousand, two hundred thirteen".