40133313113311 has 16 divisors (see below), whose sum is σ = 44524304784000. Its totient is φ = 35868255461280.

The previous prime is 40133313113249. The next prime is 40133313113353. The reversal of 40133313113311 is 11331131333104.

40133313113311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40133313113311 - 2¹⁹ = 40133312589023 is a prime.

It is a super-2 number, since 2×40133313113311² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 40133313113311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40133313113371) 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, 54196336 + ... + 54931861.

It is an arithmetic number, because the mean of its divisors is an integer number (2782769049000).

Almost surely, 2^{40133313113311} is an apocalyptic number.

40133313113311 is a deficient number, since it is larger than the sum of its proper divisors (4390991670689).

40133313113311 is a wasteful number, since it uses less digits than its factorization.

40133313113311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109128774.

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 40133313113311 its reverse (11331131333104), we get a palindrome (51464444446415).

The spelling of 40133313113311 in words is "forty trillion, one hundred thirty-three billion, three hundred thirteen million, one hundred thirteen thousand, three hundred eleven".