4013133422311 has 16 divisors (see below), whose sum is σ = 4325354062848. Its totient is φ = 3701416514400.

The previous prime is 4013133422261. The next prime is 4013133422323. The reversal of 4013133422311 is 1132243313104.

It is a cyclic number.

It is not a de Polignac number, because 4013133422311 - 2⁹ = 4013133421799 is a prime.

It is a super-2 number, since 2×4013133422311² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4013133422311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013133422411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95106160 + ... + 95148346.

It is an arithmetic number, because the mean of its divisors is an integer number (270334628928).

Almost surely, 2^{4013133422311} is an apocalyptic number.

4013133422311 is a deficient number, since it is larger than the sum of its proper divisors (312220640537).

4013133422311 is a wasteful number, since it uses less digits than its factorization.

4013133422311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47982.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 4013133422311 its reverse (1132243313104), we get a palindrome (5145376735415).

The spelling of 4013133422311 in words is "four trillion, thirteen billion, one hundred thirty-three million, four hundred twenty-two thousand, three hundred eleven".