2133331021311 has 16 divisors (see below), whose sum is σ = 3421884345600. Its totient is φ = 1154885966208.

The previous prime is 2133331021301. The next prime is 2133331021313. The reversal of 2133331021311 is 1131201333312.

It is not a de Polignac number, because 2133331021311 - 2¹⁴ = 2133331004927 is a prime.

It is a super-2 number, since 2×2133331021311² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133331021313) 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, 2673346746 + ... + 2673347543.

It is an arithmetic number, because the mean of its divisors is an integer number (213867771600).

Almost surely, 2^{2133331021311} is an apocalyptic number.

2133331021311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2133331021311 is a deficient number, since it is larger than the sum of its proper divisors (1288553324289).

2133331021311 is a wasteful number, since it uses less digits than its factorization.

2133331021311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5346694318.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 2133331021311 its reverse (1131201333312), we get a palindrome (3264532354623).

The spelling of 2133331021311 in words is "two trillion, one hundred thirty-three billion, three hundred thirty-one million, twenty-one thousand, three hundred eleven".